SlideShare a Scribd company logo
1 of 151
chapter 5
Cost–Volume–Profit Analysis
Learning Objectives
• Extend your knowledge of fixed and variable costs, and be
able to perform cost
behavior analysis.
• Understand the contribution margin, contribution margin
ratio, and how knowledge of
these concepts can be used to calculate breakeven and other
performance measures.
• Know the critical assumptions of cost–volume–profit
analysis.
• Understand variable versus absorption costing.
• Be able to calculate residual income.
istockphoto
waL80281_05_c05_113-140.indd 1 9/25/12 1:03 PM
114
CHAPTER 5Section 5.1 Mixed Costs
Chapter Outline
5.1 Mixed Costs
5.2 Cost–Volume–Profit Analysis
The Algebra of Break-Even and Targeted Income Analysis
Influence of Taxes
Changing Costs
Changing Revenues
Multiple Products
5.3 CVP Assumptions
Direct Costing
Comprehensive Income Statements Under Variable and
Absorption Costing
Fluctuating Inventory
5.4 Evaluating Residual Income
You have previously learned about fixed and variable costs.
Fixed costs are the same over the relevant range of expected
production. Variable costs fluctuate in direct pro-
portion to volume. You have seen how cost behavior influences
measures of income, flex-
ible budgeting, standard costing models, and so forth.
Management must understand
cost behavior to operate a successful business organization
effectively. In this chapter,
your knowledge of cost behavior will be extended to encompass
techniques useful in
studying a business’s break-even point and similar concepts.
These techniques are com-
monly referred to as cost–volume–profit analysis or just CVP.
You will also apply your
knowledge of cost behavior to understand alternative costing
methods that are useful in
managing business decisions.
5.1 Mixed Costs
Before diving into CVP and alternative costing models, one
must give consideration to the prospect of a mixed cost. Mixed
costs entail a fixed component and a variable
component. They are actually quite common. If you have ever
committed to a cell phone
contract, it is very possible that you have some hands-on
experience with mixed costs.
Your monthly cellular bill may include both fixed and variable
amounts. Perhaps there is
a fixed charge for basic monthly service and variable charges
related to Internet access,
texting, and so forth. Mixed costs change in response to
fluctuations in volume, but not
in a way that is immediately apparent. Before a manager can
study the effects of volume
fluctuation on a business, it is first necessary to develop a
model that separates mixed
costs into their fixed and variable components.
Assume that Charlie’s Restaurant receives a monthly electric
bill. Charlie’s electricity use
fluctuates significantly each month. The cause of the fluctuation
relates mostly to seasonal
differences in utility consumption, based on heating and air-
conditioning needs. Charlie’s
provides data about its monthly electric bill in Table 5.1.
waL80281_05_c05_113-140.indd 2 9/25/12 1:03 PM
115
CHAPTER 5Section 5.1 Mixed Costs
Table 5.1: Charlie’s electric bill data
Total cost Kilowatts used
January $1,950 15,000
February 1,750 13,000
March 1,650 12,000
April 1,350 9,000
May 1,450 10,000
June 1,750 13,000
July 2,150 17,000
August 2,050 16,000
September 1,850 14,000
October 1,350 9,000
November 1,550 11,000
December 1,750 13,000
At first glance, it may not be at all apparent how the total cost
relates to the total usage.
However, a graphical representation of this cost is quite
revealing. Exhibit 5.1 is a chart
with the total cost indicated along the vertical axis and the total
usage along the horizontal
axis. From this chart, you are able to see that fixed cost is the
same, at $450, no matter the
electricity consumed. Variable cost is rising at $0.10 per
kilowatt hour.
Exhibit 5.1
KILOWATTS USED
TOTAL ELECTRICITY COST
Variable cost area
Fixed cost area
18,00016,00014,00012,00010,0008,0006,0004,0002,0000
$2,500
$2,000
$1,500
$1,000
$500
$0
waL80281_05_c05_113-140.indd 3 9/25/12 1:03 PM
116
CHAPTER 5Section 5.1 Mixed Costs
Perhaps you are able to “eyeball” the data in the table and make
a determination of the
fixed and variable portions in the electric bill. However, what if
the data set is much larger
and more cryptic? How can you estimate the fixed and variable
amounts? This problem
is frequently encountered because many expenses contain both
fixed and variable compo-
nents. A simple (and sometimes imprecise) approach is the
high–low method. With this
technique, the highest and lowest levels of activity are
identified and the difference in cost
is deemed to be representative of the variable portion. The
variable portion is divided by
the difference in activity/consumption between the high and low
activity levels to find
the variable cost per unit. The fixed cost can be calculated by
subtracting variable cost
from total cost. In Table 5.2 are calculations of the fixed and
variable costs for Exhibit 5.1,
determined by using the high–low method.
Table 5.2: Fixed and variable costs for Charlie’s Restaurant
Kilowatts Cost
Highest level 17,000 $2,150
Lowest level 9,000 1,350
Difference 8,000 $800
Variable cost per unit $800/8,000 5 $0.10
High Low
Total cost $2,150 $1,350
Less: Variable cost
(kilowatts 3 $0.10)
1,700 900
Fixed cost $450 $450
Certainly, the high–low method is not the only technique that
can be used to estimate
fixed and variable components. Also, if there are outlying data
points (on the high or low
end), the resulting estimates of fixed and variable components
can be quite misleading.
When data are not as linear as presented in the illustration,
more precise tools are needed
to separate costs into fixed and variable components.
One such tool is regression analysis (also known as the method
of least squares regression
analysis), which defines a line that has a best fit to a set of data.
The line is defined in terms
of its intercept with the vertical axis and its slope. To better
understand regression analy-
sis, consider Exhibit 5.2 showing a line that intercepts the y
axis at 2 and has a slope of 0.8.
waL80281_05_c05_113-140.indd 4 9/25/12 1:03 PM
117
CHAPTER 5Section 5.1 Mixed Costs
Exhibit 5.2
In the diagram, note that the line is rising consistently upward
to the right as it moves out
along the x axis. The rate of rise is called the slope of the line,
and it is occurring at the rate
of 0.8 along the y axis for every 1 unit increase along the x
axis. It is said that one picture is
worth a thousand words, and the same can be true of some
mathematical equations. You
should be able to close your eyes and imagine the same line
based on knowledge of its
mathematical formula:
Y 5 2 1 0.8X
where a is the intercept on the y axis, b is the slope of the line,
and X is the position on the
x axis.
This conventional mathematical formulation of a line can be
translated to a discussion of
fixed and variable costs in an accounting context. In other
words, the formula can also be
used to describe a mixed cost that consists of $2 of fixed cost
and an additional variable
component of $0.80 per unit. For example, if five units were
produced, total costs would
be $6 (see the circle in Exhibit 5.2), consisting of $2 fixed and
$4 variable (5 units 3 $0.80).
Given a large historical data set about a mixed cost over time,
how can regression analysis
be used to analyze the data and find the formula for the line that
best passes through the
data? In a precise context, regression provides a mathematical
model that processes the
data set to find a line where the cumulative sum of the squared
distances between the
points and the line is minimized (hence the name “least
squares”). You might actually
learn to do these calculations in an advanced statistics class.
Fortunately, however, elec-
tronic spreadsheets include built-in functions that do these
calculations for you. Exhibit
5.3 is an example of a spreadsheet plotting hypothetical cost
data against hypothetical
production data for a series of years:
20
2
0
4
6
8
10
12
4 6 8 10 12
X
Run = 10
Rise = 8Y
SLOPE = 0.8
waL80281_05_c05_113-140.indd 5 9/25/12 1:03 PM
118
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
Exhibit 5.3
In the spreadsheet, column C includes annual production data,
whereas column D identi-
fies total cost. The formula included in cell C16
(=INTERCEPT(D5:D13,C5:C13)) serves
to calculate the intercept for the cost plotted against the
volume. The indicated value of
approximately $250,000 suggests fixed costs of approximately
that level for each year.
The slope reported in cell C17 (5SLOPE(D5:D13,C5:C13)) can
be interpreted to mean that
variable cost is $2.63 per unit of production. The accompanying
graph shows the indi-
vidual points and the resulting line defined by this formula:
Y 5 $250,044 1 $2.63X
This line resulting under regression analysis produces the best
fit line, such that the verti-
cal distance, squared, between each point and the resulting line
is minimized. This line is
deemed to be the best fit line, and it gives the best indication of
the fixed and variable costs
over time. A simple approach to regression is to simply “eyeball
the points” and draw a
line through them. You would then estimate the slope and
intercept of this estimated line.
This approach is not as precise as regression analysis, but it can
get you in the right ball-
park for a quick estimate.
5.2 Cost–Volume–Profit Analysis
Agood manager must understand an organization’s variable and
fixed cost components. That is why it is essential to perform
analysis such as that just illustrated to discern the
precise nature of a company’s cost behavior. Knowledge about
the cost structure is essen-
tial for cost–volume–profit (CVP) analysis. CVP is helpful in
assessing the relationships
between costs, business volume, and profitability. These
relationships take into account
variables pertaining to pricing, volume, variable and fixed
costs, and product mix.
$0
$600,000
$500,000
$400,000
$300,000
$200,000
$100,000
20,000 40,000 60,000 80,000
TOTAL
COST
100,000 120,000
Year Production Total cost
20X1
20X2
20X3
20X4
20X5
20X6
20X7
20X8
20X9
100,000
90,000
75,000
110,000
70,000
105,000
95,000
60,000
85,000
$500,000
$480,000
$465,000
$550,000
$440,000
$535,000
$485,000
$399,500
$475,000
Intercept (spreadsheet cell C16) = 250044.335
Slope (spreadsheet cell C17) = 2.631773399
waL80281_05_c05_113-140.indd 6 9/25/12 1:03 PM
Column C Column D
119
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
The goal of CVP is to provide a foundation for pricing
decisions, product offerings, and
management of an organization’s cost structure. In the
following discussion, you will
learn how to calculate a company’s break-even point as well as
the volume level neces-
sary to achieve a targeted amount of income.
The core of CVP analysis is the contribution margin or revenues
minus all variable
expenses:
Contribution Margin 5 Revenues 2 Variable Expenses
Some of these variable costs are product costs and some relate
to selling and administra-
tive activities. The contribution margin should not be confused
with gross profit (revenues
minus cost of sales). Gross profit would be calculated after
deducting all manufacturing
costs associated with sold units, whether fixed or variable.
Furthermore, gross profit is
calculated before considering selling, general, and
administrative costs. Thus, the contribu-
tion margin and gross profit are two entirely different concepts.
The contribution margin is
a calculated value for internal analysis, but it is ordinarily not
reported to parties external
to the firm.
Assume that Mustang Corporation manufactures and sells
fishing boats. Each boat sells
for $10,000, and variable manufacturing costs are $6,000 per
boat. In addition, the boats
are only sold through commissioned agents who receive $1,500
for each boat sold. Mus-
tang’s per-unit contribution margin is $2,500 ($10,000 2
($6,000 1 $1,500)). Mustang incurs
$2,500,000 of fixed costs, no matter how many boats are
produced and sold. The company
must sell 1,000 units to break even, as shown in Table 5.3.
Table 5.3: Breaking even
Total Per boat Ratio
Sales (1,000 3 $10,000) $10,000,000 $10,000 100% (or 1.00)
Variable costs (1,000 3 $7,500) 7,500,000 7,500 75% (or 0.75)
Contribution margin $ 2,500,000 $ 2,500 25% (or 0.25)
Fixed costs 2,500,000
Net income $ 0
In reviewing Table 5.3, you likely noticed that the contribution
margin can be reflected
in the aggregate, on a per-unit basis, or on a ratio basis. The
ratios may be expressed as
percentages or fractional amounts (e.g., 50% or 0.50). These
data were designed to reflect
a break-even outcome of 1,000 units. In the following
paragraphs, you will learn how to
determine, in advance, the sales that are necessary to break
even. Before looking at those
formulations, let’s first consider what would happen to Mustang
if sales were 1,500 units.
Logic suggests that the company will be profitable. If 1,000
units are first needed to break
even, then selling an additional 500 units should produce profits
equivalent to the added
contribution on those 500 units (500 3 $2,500 5 $1,250,000).
The calculations in Table 5.4
prove this logic:
waL80281_05_c05_113-140.indd 7 9/25/12 1:03 PM
120
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
Table 5.4: Logic of being profitable
Total Per boat Ratio
Sales (1,500 3 $10,000) $15,000,000 $10,000 100% (or 1.00)
Variable costs (1,500 3
$7,500)
11,250,000 7,500 75% (or 0.75)
Contribution margin $ 3,750,000 $ 2,500 25% (or 0.25)
Fixed costs 2,500,000
Net income $ 1,250,000
The changes in volume only impacted the total column in Table
5.4. Volume changes do
not change the per-unit or ratio effects. This will be important
to remember in the ensuing
formulas that you will learn for break-even calculations. Break-
even analysis can also be
presented in a graphical manner as in Exhibit 5.4.
Exhibit 5.4
A break-even chart, such as the one shown for Mustang, is
intended to allow the user to
observe the unit sales volume (as revealed along the horizontal
axis in Exhibit 5.4) that is
necessary for a company to break even. In other words, it is the
point where the amount of
sales in dollars equals the total cost in dollars. Total sales are
portrayed by the line starting
at zero and sloping upward at $10,000 per unit. In contrast, total
costs start at $2,500,000
(the amount of fixed costs) and rise more slowly at $7,500 per
unit (the amount of variable
cost per unit).
TOTAL UNITS
CVP ANALYSIS
Variable cost area
Profit area
Loss area
Total cost line
Break-even point
Total sales line
Fixed cost area
2,0001,5001,0005000
0
20,000,000
10,000,000
2,500,000
waL80281_05_c05_113-140.indd 8 9/25/12 1:03 PM
121
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
Some companies utilize graphs such as that shown in Exhibit
5.4 to keep an eye on their
margin of safety. The margin of safety is simply the amount by
which sales exceed the
break-even sales level. If Mustang’s actual sales were
$15,000,000, their margin of safety
would be $5,000,000 ($15,000,000 2 $10,000,000 break-even
sales). Operating leverage is
a related CVP term that is often used. It refers to the amount of
increase in income associ-
ated with an increase in sales. This concept is based on the
differences in slope between
the total revenue line and the variable cost line; in essence, it
reflects the contribution mar-
gin rate. Some businesses refer to the process of evaluating
margin of safety and operating
leverage as tools in “sensitivity” or “scalability” analysis.
Basically, it is perspective on
how changes in volume impact changes in income.
The Algebra of Break-Even and Targeted Income Analysis
The preceding graphical representation can be converted to
algebraic formulas. Consider
the following relationships:
Break-Even Sales 5 Total Variable Costs 1 Total Fixed Costs
Mustang’s 10,000 units in sales to break even is confirmed via
the following:
(Units 3 $10,000) 5 (Units 3 $7,500) 1 $2,500,000
Solving:
(Units 3 $10,000) 2 (Units 3 $7,500) 5 $2,500,000
(Units 3 $2,500) 5 $2,500,000
Units 5 1,000
The 1,000 units, at $10,000 each, translate into total sales of
$10,000,000. The preceding
relationships can be algebraically modified to formulate a
calculation of breakeven by
reference to the contribution margin ratio:
Break-Even Sales = Total Fixed Costs / Contribution Margin
Ratio
$10,000,000 5 $2,500,000/0.25
Utilization of this ratio-based approach is helpful for
multiproduct companies as long as
all products have a consistent contribution margin.
As yet another modification to the algebra, consider that total
fixed costs can simply be
divided by the contribution margin per unit:
Break-Even Point in Units = Total Fixed Costs / Contribution
Margin Per Unit
1,000 Units 5 $2,500,000/$2,500
waL80281_05_c05_113-140.indd 9 9/25/12 1:03 PM
122
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
Of course, businesses are not in business just to break even.
They likely have
targeted income levels and desire to know the amount of sales
that will be needed to
reach those goals. The determination of sales necessary to
achieve a targeted amount of
income is a very easy modification of the break-even
calculations. All that is required is
to treat the desired income in a manner similar to the amount of
fixed costs that must be
covered by the margin:
Sales to Achieve Targeted Income 5 Total Variable Costs 1
Total Fixed
Costs 1 Target Income
If Mustang desired to earn $1,000,000 of income, the following
calculations would be
appropriate:
(Units 3 $10,000) 5 (Units 3 $7,500) 1 $2,500,000 1 $1,000,000
Units 3 $2,500 5 $3,500,000
Units 5 1,400
If you want to know the dollar level of sales to achieve this
targeted income, you could
multiply the 1,400 units by the $10,000 selling price per unit, or
$14,000,000 5 (Total Fixed Costs 1 Target Income) /
Contribution Margin Ratio
$14,000,000 5 $3,500,000/0.25
Influence of Taxes
Taxes are a significant cost of doing business. Some taxes are
fixed in amount, such as
property taxes. They are easily factored into CVP by increasing
the total fixed cost pool.
However, taxes based on income present a slight complication
to CVP. Income taxes are
nonexistent up to the break-even point (i.e., you do not pay
income taxes until you turn
profitable) and then kick in based on a predetermined rate. The
effect of an income tax
essentially means that you have two different contribution
margin rates—one based on
sales minus variable expenses (without taxes) up to the break-
even point and another based
on sales minus variable expense and income taxes once the
break-even point is exceeded.
The preceding discussion points to the rather obvious need to
modify the algebra associ-
ated with profitability analysis. First, income taxes will not
modify the break-even cal-
culations. However, sales necessary to achieve target income
level calculations must be
amended. One simple way to perform this analysis is in two
stages. The first stage is to
calculate the break-even point. The second stage is to calculate
the additional sales needed
to reach the target income. In the second stage, it is important
to remember that fixed costs
have already been covered at the break-even point, but the
contribution margin is reduced
because of the income taxes.
To illustrate, assume the Go for Gold Mining faces the
following facts:
Fixed costs $2,000,000
waL80281_05_c05_113-140.indd 10 9/25/12 1:03 PM
123
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
Variable mining costs $ 750 per ounce
Income tax rate 50%
If gold is selling for $1,500 per ounce (giving rise to a pretax
contribution margin of 50%),
and Go for Gold desires to reach an after-tax income level of
$1,000,000, how much gold
must be sold?
The first step is to calculate break-even sales:
$2,000,000 (fixed costs)/0.50 contribution margin ratio 5
$4,000,000 in sales
The second step is to calculate the additional sales to earn a
$1,000,000 profit:
$1,000,000 (target income)/0.25 revised contribution margin
ratio 5
$4,000,000 in sales. Note: 50% contribution plus 50% tax on
that same 50%
gives us 75% in contribution margin plus taxes.
Combining the sales to reach breakeven plus the additional sales
to reach the target income
level reveals that Go for Gold must sell $8,000,000 to achieve
the desired income level. You
likely noticed that the contribution margin in the second step
was only 25% instead of
50%. The reason is that any profits had to be shared 50:50 with
the government (given the
assumed 50% income tax rate). This means that the company’s
contribution was reduced
in half for all sales above the break-even point!
Changing Costs
Costs can naturally be expected to shift over time. These
changes will impact the struc-
tural relationships between fixed and variable components.
Management must be able to
contemplate how cost shifts will impact the business. For
instance, an increase in fixed
costs, without a change in per-unit variable costs and revenues,
will obviously increase
the break-even point. The proper analysis for an increase in
fixed cost requires that the
new total fixed cost be divided by the contribution margin.
Suppose Mustang’s total fixed
costs increased from $2,500,000 to $3,000,000. What sales level
is now necessary to break
even? Recall that the break-even point in sales can be derived
by dividing total fixed costs
by the contribution margin ratio. Thus, the new calculation of
breakeven is as follows:
$12,000,000 5 $3,000,000/0.25
The $500,000 additional fixed cost requires an additional
$2,000,000 in sales. As you can
see, the revisions in fixed costs are relatively simple to
incorporate into the break-even
framework with which you are already familiar. However, what
about changes in variable
costs? What if a new environmental regulation required that an
additional $500 be spent on
each boat to use a safer fiberglass handling process? Now, the
contribution margin is only
$2,000 per unit ($10,000 2 ($7,500 1 $500)). Assuming the
added cost cannot be passed
through, how will this impact the break-even point? The revised
break-even point (let’s
assume fixed costs are still $2,500,000 for this illustration) is
now calculated as follows:
$12,500,000 5 $2,500,000/0.20
waL80281_05_c05_113-140.indd 11 9/25/12 1:03 PM
124
CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
Of course, a business sometimes must choose between adding
either a fixed or a vari-
able cost. Suppose the per-unit increase in variable cost
associated with a safer fiberglass
handling process could be avoided by instead incurring a
$500,000 increase in fixed cost.
If you review the two preceding examples, you can see that
breakeven is lower with the
added fixed cost, and you might jump to the conclusion that it
would be the preferred
option. However, if the business’s sales fail to reach even the
break-even level, there is a
point at which the added fixed cost would become
disadvantageous. For example, if sales
reached only $8,000,000, Table 5.5 reveals that the loss is less
for the case in which the
increased fixed cost was avoided.
Table 5.5: Loss is less
With increased fixed cost Without increased fixed cost
Sales $8,000,000 $8,000,000
Less: Fixed costs ($3,000,000) ($2,500,000)
Less: Variable costs
(800 , $7,500)
($6,000,000)
Less: Variable costs
(800 , $8,000)
($ 6,400,000)
Net loss ($1,000,000) ($ 900,000)
Changing Revenues
Changes in per-unit revenue, without changes in total fixed
costs or per-unit variable cost,
can sometimes cause dramatic impacts on firm profits. This is
especially true for busi-
nesses with a low variable cost structure. Consider the example
in Table 5.6, in which firm
profits are calculated before and after a $10 per-unit increase in
selling price.
Table 5.6: Calculating profits
Before price increase After price increase
Sales (5,000 units) $500,000 $550,000
Variable costs ($40 per unit) 200,000 200,000
Contribution margin $300,000 $350,000
Fixed costs 275,000 275,000
Net income $25,000 $75,000
Notice that the $10 (10%) increase in selling price caused a
tripling of profits from $25,000
to $75,000. This simple illustration shows the importance of
small adjustments in selling
prices. Of course, markets are at times very sensitive to pricing.
Customers may not be
willing to pay the added $10, which can cause a reduction in
per-unit sales. Management
must be very careful in setting its pricing policies.
waL80281_05_c05_113-140.indd 12 9/25/12 1:03 PM
125
CHAPTER 5Section 5.3 CVP Assumptions
Multiple Products
Most businesses offer more than one product. Each product may
have a different selling
price, contribution margin, and contribution margin ratio. This
has the potential to com-
plicate CVP analysis. Now, knowledge is also required about
the proportion of total sales
attributable to each product.
To illustrate, assume that Infusion Technology sells hospital
medication pumps and dis-
posable cassettes that hold various medications. The pumps sell
for $5,000 and have vari-
able costs of $4,000. The contribution margin is therefore
$1,000 per pump. The cassettes
sell for $20 and have variable costs of $10, giving rise to a $10
per-unit contribution mar-
gin. Infusion Technology sells 1,000 cassettes for each pump
sold. How many pumps and
cassettes must be sold to cover the business’s $1,100,000 of
total fixed costs? Consider
that a product “unit” typically consists of one pump and 1,000
cassettes. Thus, the “unit”
would have a contribution margin of $11,000, as shown in Table
5.7.
Table 5.7: Contribution margin
Contribution margin
Pump 1 item at $1,000
Cassette 1,000 items at $10 5 $10,000
“Unit contribution” $11,000
To recover $1,100,000 of fixed cost requires sales of 100
“units” ($1,100,000/$11,000). This
is equivalent to selling 100 pumps and 100,000 cassettes. Total
break-even sales equal
$2,500,000 (($5,000 3 100 pumps) 1 ($20 3 100,000 cassettes)).
This break-even sales level
would shift dramatically if the product mix is not as projected.
Pumps have a much lower
contribution margin than cassettes, and increasing their sales
(without a corresponding
increase in the high-margin cassettes) would cause a dramatic
shift in the break-even level
of sales.
5.3 CVP Assumptions
The CVP techniques illustrated in this chapter are simply
models of cost behavior. Financial models are typically based
on various assumptions. Violating an assump-
tion can cause a model to produce misleading results. Therefore,
it is very important for
you to consider the assumptions of CVP in Table 5.8.
waL80281_05_c05_113-140.indd 13 9/25/12 1:03 PM
126
CHAPTER 5Section 5.3 CVP Assumptions
Table 5.8: Assumptions of CVP
Inventory levels Constant, with the number of units sold
equaling the number of units
produced. Fluctuations in inventory would result in
a portion of the
variable and fixedcostsbeing transferred in and
out of inventory rather
than income.
Identification of costs Costs can be clearly and
reliably identified as fixedand variable in
nature.
Preservation of linearity Variable costsare constant
per unit, and total fixedcostsare stable and
constant over the relevant range of activity.
Revenues are constant per
unit.
Product mix ratios meet
expectations
Revenues are constant per unit, and multiple-product
firms meet the
expected product mix ratios.
Direct Costing
Now that you have examined the contribution margin and how it
can be useful in corpo-
rate analysis, it is time to expand upon the concept to see how it
dovetails with report-
ing. Two general models can be used to measure and report
income for a manufacturer.
One is absorption (or full) costing. It is the model with which
you are currently familiar,
and it is required for external reporting purposes. There is an
alternative model, accept-
able only for internal use, called direct (or variable) costing.
Each has its advantages and
disadvantages.
Absorption costing provided the basis for prior chapter
illustrations. Under this tech-
nique, all manufacturing costs are deemed to be product costs
and are therefore included
in inventory. When sold, the full cost of inventory is transferred
to cost of goods sold. The
result is that gross profit is reduced by all costs of
manufacturing, including direct mate-
rials, direct labor, and variable and fixed manufacturing
overhead. Also recall that sell-
ing, general, and administrative costs (SG&A) are classified as
period expenses, whether
fixed or variable in nature. Generally accepted accounting
principles (GAAP) require this
approach based on the premise that inventory should be
measured and reported at its
complete cost. There is obvious merit to this conclusion. A
product could likely not be
produced without a certain amount of fixed manufacturing
overhead, and it seems inap-
propriate to exclude such costs as one attempts to report on
their manufacturing profits.
Variable (direct) costing only assigns variable product costs to
inventory and cost of
goods sold. Thus, product costs are deemed to include direct
materials, direct labor, and
variable manufacturing overhead. The fixed manufacturing
overhead is regarded as a
period cost. Table 5.9 highlights the difference in perspective
between absorption and
variable costing.
waL80281_05_c05_113-140.indd 14 9/25/12 1:03 PM
127
CHAPTER 5Section 5.3 CVP Assumptions
Table 5.9: Absorption versus variable costing
Absorption costing Variable costing
Product cost Period cost Product cost Period cost
Direct material ✔ ✔
Direct labor ✔ ✔
Variable manufacturing overhead ✔ ✔
Fixed manufacturing overhead ✔ ✔
Variable SG&A ✔ ✔
Fixed SG&A ✔ ✔
In light of GAAP’s requirement for absorption costing, and the
associated arguments
in support of this view, why might a company opt for variable
costing for internal use?
Regardless of the claims in support of absorption costing, it
does suffer from some limita-
tions that can impede appropriate management decisions.
Absorption costing does not
necessarily provide the best signals about product pricing,
whether to continue to produce
a product, whether to accept a special order, and similar
decisions. With variable costing,
fixed manufacturing costs are shifted from product costs to
period costs because they will
be incurred no matter the level of production. Simply stated, in
many cases, a company
should continue to produce a product that has a positive
contribution margin, even if the
overall results still appear to be producing a loss; the loss
would be larger if the fixed costs
were incurred and nothing was produced. Absorption costing
does not illuminate this
reality in a way that enables good decisions. Numerous similar
situations can arise. This is
a very important concept and bears much deeper analysis via a
series of examples.
Assume that Home Pride produces 500,000 loaves of bread per
month, and per-unit costs
are $0.45 for direct material, $0.30 for direct labor, and $0.25
for variable factory over-
head. Total fixed factory overhead amounts to $250,000. Under
absorption costing, a loaf
of bread costs $1.50 to produce. This consists of variable costs
($0.45 1 $0.30 1 $0.25 5
$1) and fixed costs ($250,000/500,000 loaves 5 $0.50). Under
variable costing, the prod-
uct cost includes just the $1.00 of variable manufacturing
components. If Home Pride is
approached by Super Grocery to produce a private-label bread
product, and Super Gro-
cery is willing to pay $1.25 per loaf, should Home Pride accept
the deal? Home Pride has
evaluated the transaction and concluded that it will not result in
any added variable or
fixed SG&A costs, and it will not cause a reduction in sales of
its own bread products.
With absorption costing, it appears that the offer should be
rejected. Why sell something
for $1.25 when it costs $1.50 to produce? This seems obviously
irrational. Conversely, vari-
able costing suggests that a profit of $0.25 per loaf will result
by accepting Super Grocery’s
offer. Which decision is right? Management may well decide to
accept the offer to enhance
profits. It is important to recall that no other costs will be
incurred. Reliance on absorption
costing for decision making could have resulted in this
opportunity having been missed.
Very likely, you are now beginning to understand why some
companies prefer a variable
costing structure for internal measurement and decision-making
purposes.
waL80281_05_c05_113-140.indd 15 9/25/12 1:03 PM
128
CHAPTER 5Section 5.3 CVP Assumptions
Comprehensive Income Statements Under Variable and
Absorption Costing
The preceding discussion focused on the general structure of
income measurement under
absorption and variable costing. The Home Pride example
further assumed that SG&A
was unaffected by the decision to sell to Super Grocery. That
assumption would often
not be valid. Variable SG&A typically increases along with
rising sales, and this factor
will be reflected in a variable costing income statement.
Consider the following income
statements for Garcia Company. Garcia does not maintain
inventory, and it sells all that
is produced each period. As a result, total income is the same,
whether measured under
absorption or variable costing. The difference, therefore, is only
in how the data are pre-
sented. Absorption costing will focus on an intermediate
subtotal relating to gross profit.
This is a different focus than with variable costing, in which the
emphasis is on contribu-
tion margins. Begin by closely examining the absorption costing
income statement shown
in Exhibit 5.5, and then review the additional commentary that
follows.
Exhibit 5.5
Under absorption costing, assume the $500,000 cost of goods
sold consists of direct mate-
rials ($150,000), direct labor ($200,000), and variable ($50,000)
and fixed manufacturing
overhead ($100,000). Gross profit is reduced by SG&A, which
is assumed to be $125,000
variable and $75,000 fixed. When these same factors are
rearranged and presented as in
a variable costing income statement format, you will first notice
that all variable costs
are subtracted from sales to arrive at the contribution margin.
Garcia Company further
divides the contribution margin between the manufacturing
margin and the overall mar-
gin, after subtracting variable SG&A (Exhibit 5.6).
Sales
Cost of goods sold
Gross profit
Less: Variable SG&A
Fixed SG&A
Net income
$ 125,000
75,000
$1,000,000
500,000
$ 500,000
200,000
$ 300,000
GARCIA COMPANY
Absorption Costing Income Statement
For the Year Ending December 31, 20XX
waL80281_05_c05_113-140.indd 16 9/25/12 1:03 PM
129
CHAPTER 5Section 5.3 CVP Assumptions
Exhibit 5.6
Fluctuating Inventory
You may be wondering what happens if inventory levels
fluctuate. With absorption cost-
ing, inventory will carry all manufacturing costs, whereas only
variable manufacturing
costs are assigned to inventory with variable costing.
Generalizing, therefore, inventory is
measured at a higher value with absorption costing; in other
words, certain costs (a por-
tion of the fixed manufacturing overhead) are placed in
inventory that would otherwise
be expensed immediately under variable costing. This means
that income is higher with
absorption costing in those periods during which inventory
levels are increasing. Let’s
revisit Garcia Company, this time assuming that sales are 10%
less, and the unsold units
become part of ending inventory. The income statements
(Exhibits 5.7 and 5.8) show how
income is higher under absorption costing by $10,000. This is
exactly as expected. In other
words, 10% of the $100,000 of fixed manufacturing overhead is
assigned to inventory
under absorption costing versus what is expensed under variable
costing.
Sales
Less: Variable product costs
Manufacturing margin
Less: Variable SG&A
Contribution margin
Less: Fixed factory cost
Fixed SG&A
Net income
$ 100,000
75,000
$1,000,000
400,000
$ 600,000
125,000
$ 475,000
175,000
$ 300,000
GARCIA COMPANY
Variable Costing Income Statement
For the Year Ending December 31, 20XX
waL80281_05_c05_113-140.indd 17 9/25/12 1:03 PM
130
CHAPTER 5Section 5.4 Evaluating Residual Income
Exhibit 5.7
Exhibit 5.8
5.4 Evaluating Residual Income
Comparing income measures under absorption and variable
costing provides helpful clues to guide correct managerial
decisions. However, these measures are not a pana-
cea for management. Additional economic facets must be
considered. For instance, neither
measure adjusts income for the embedded amount of capital that
must be deployed to gen-
erate the reported income numbers. In other words, the level of
stockholder investments
is not factored into the basic income calculations. If two
businesses each generate income
of $1,000,000 but one of the businesses has stockholder
investments of $5,000,000 and the
other has stockholder investments of $10,000,000, it is apparent
that the former business
Sales
Less: Variable product costs
Manufacturing margin
Less: Variable SG&A
Contribution margin
Less: Fixed factory cost
Fixed SG&A
Net income
$ 100,000
75,000
$ 900,000
360,000
$ 540,000
112,500
$ 427,500
175,000
$ 252,500
GARCIA COMPANY
Variable Costing Income Statement
For the Year Ending December 31, 20XX
Sales
Cost of goods sold
Gross profit
Less: Variable SG&A
Fixed SG&A
Net income
$ 112,500
75,000
$ 900,000
450,000
$ 450,000
187,500
$ 262,500
GARCIA COMPANY
Absorption Costing Income Statement
For the Year Ending December 31, 20XX
waL80281_05_c05_113-140.indd 18 9/25/12 1:03 PM
131
CHAPTER 5Section 5.4 Evaluating Residual Income
is generating a better rate of return on the amount of invested
capital. Thus, not only is it
important that a business have profitable operations to maintain
long-run economic viabil-
ity but also it must generate returns that are sufficient to justify
the investment. In a later
chapter, you will study many capital budgeting tools that aid in
these evaluations.
However, you are already in a position to consider the concept
of residual income. Like vari-
able costing, residual income is not a GAAP-based measure.
Instead, it is another internal
financial assessment technique. Residual income provides a
scale of business success or fail-
ure after adjusting for the presumed cost of capital. The cost of
capital is the theoretical rate
that funds could earn if invested in alternative use. The cost of
capital varies by firm and is
based on general economic conditions. Although there are
variations in the way in which
residual income could be measured, one general approach is
based on this formulation:
Residual Income 5 Operating Income 2 (Operating Assets 3
Cost of Capital)
To see how residual income can be used for business
assessments, begin by looking at the
data for two separate business segments in Table 5.10.
Table 5.10: Data for two business segments
Segment A Segment B
Operating income $ 250,000 $500,000
Less: Cost of capital
Segment A capital $3,000,000 3 5% cost of capital (150,000)
Segment B capital $9,000,000 3 5% cost of capital (450,000)
Residual income $ 100,000 $ 50,000
At first glance, it appears that Segment B is more successful
because its operating income
is twice that of Segment A. However, Segment B has much more
capital invested in opera-
tions ($9,000,000 for B vs. $3,000,000 for A). Assuming a 5%
cost of capital, Segment A’s
residual income is twice that of Segment B. This information
casts the relative success of
the two divisions in a completely different light. Thus, residual
income can be a powerful
tool for identifying and ranking the performance of segments,
products, and other com-
ponents of business activity.
As with most analysis techniques, great care must be taken in
interpreting residual income.
Conclusions can be impacted by the assumption about the cost
of capital and different rank-
ings achieved by revisions in interest rates. In addition,
management needs to understand
the accounting principles that were used to measure operating
income. For example, a unit
may be spending heavily on developmental costs. Were these
costs expensed? If so, then
near-term income could be negatively impacted. In the long
term, those same costs (having
already been expensed) would be excluded from the calculation
of invested capital and per-
haps inflate the residual income in the latter stages of a project.
Thus, management needs
to be very careful in interpreting residual income. Nevertheless,
when used appropriately,
the technique is highly valuable in helping a business identify
and rank products, segments,
and business activities. It is crucial that business decisions
about which products and ser-
vices to offer, or cease to offer, be made with deliberate care
and attention to detail.
waL80281_05_c05_113-140.indd 19 9/25/12 1:03 PM
132
CHAPTER 5Concept Check
Concept Check
The five questions that follow relate to several issues raised in
the chapter. Test
your knowledge of the issues by selecting the best answer. (The
correct answers can
be found at the end of your text.)
1. Variable costs (from the accountant’s viewpoint)
a. are graphed by means of a curvilinear line.
b. remain constant in total through the relevant range.
c. are constant on a per-unit basis through the relevant range.
d. are commonly divided into committed and discretionary
classifications.
2. The high–low method of analyzing cost behavior
a. can be used to determine the variable and fixed components
of a mixed cost
function.
b. uses the same number of data observations as a
scattergraph.
c. relies on the following computation to figure the variable
cost per unit (or hour):
Change in activity between the high and low points / change in
cost between the
high and low points.
d. results in different amounts of fixed cost at the high and
low data points.
3. Foster Company has sales of $800,000, variable costs that
total 60% of sales, and
fixed costs of $180,000. The firm’s break-even point is
a. $140,000.
b. $300,000.
c. $450,000.
d. $560,000.
4. The contribution margin
a. is the amount that each unit contributes toward covering
variable costs and
producing income.
b. is the result of subtracting both the variable and fixed costs
per unit from the
selling price.
c. may, in select cases, be less than net income.
d. is the difference between a unit’s selling price and variable
cost and, when
divided into fixed costs, will produce the unit sales required to
break even.
5. The cost–volume–profit model
a. can be used only by single-product companies.
b. assumes that the sales mix will remain as predicted.
c. assumes that technology, efficiency, and costs can change.
d. cannot be used to study operating changes of the firm.
waL80281_05_c05_113-140.indd 20 9/25/12 1:03 PM
133
CHAPTER 5Critical Thinking Questions
Critical Thinking Questions
1. Define the break-even point.
2. Define the contribution margin. What does the contribution
margin represent, and
how is it used in finding the break-even point?
3. Product A has a negative contribution margin. Explain how
a negative contribution
margin can arise, and determine whether product A should
continue to be sold.
4. Discuss the benefits associated with using a break-even
chart.
5. Determine the effect, if any, on the break-even point that
each of the following
events would have:
a. An increase in sales price
b. A decrease in fixed cost
c. An increase in the number of units sold
6. Will a change in a company’s sales mix likely affect the
break-even point? Briefly
explain.
7. What are the limiting assumptions of CVP analysis?
absorption costing A technique by which
all manufacturing costs are deemed to be
product costs and are therefore included in
inventory.
break-even chart Used to allow the user
to observe the unit sales volume that is
necessary for a company to break even.
contribution margin At the core of a CVP
analysis, and it represents revenues minus
all variable expenses.
cost–volume–profit (CVP) analysis
The process of providing a foundation for
pricing decisions, product offerings, and
management of an organization’s cost
structure.
high–low method A method of identify-
ing the highest and lowest levels of activity
and where the difference in cost is deemed
to be representative of the variable portion.
margin of safety The amount by which
sales exceed the break-even sales level.
mixed costs A type of cost that entails
a fixed component and a variable
component.
operating leverage Refers to the amount
of increase in income associated with an
increase in sales, based on the differences
in slope between the total revenue line and
the variable cost line.
residual income An internal financial
assessment technique that provides a scale
of business success or failure after adjust-
ing for the presumed cost of capital.
targeted income A measuring point for a
company to pinpoint the amount of sales
that will be required to reach financial
goals.
variable (direct) costing A method in
which variable product costs are assigned
to inventory and cost of goods sold. Prod-
uct costs are deemed to include direct
materials, direct labor, and variable manu-
facturing overhead.
Key Terms
waL80281_05_c05_113-140.indd 21 9/25/12 1:03 PM
134
CHAPTER 5Exercises
Exercises
1. High–low method
The following cost data pertain to 20X6 operations of Heritage
Products:
Quarter 1 Quarter 2 Quarter 3 Quarter 4
Shipping costs $58,200 $58,620 $60,125 $59,400
Orders shipped 120 140 175 150
The company uses the high–low method to analyze costs.
a. Determine the variable cost per order shipped.
b. Determine the fixed shipping costs per quarter.
c. If present cost behavior patterns continue, determine total
shipping costs for
20X7 if activity amounts to 570 orders.
2. Break-even and other CVP relationships
Delta Gamma Upsilon sorority is in the process of planning its
annual homecoming
dinner and dance. The treasurer anticipates the following costs
for the event, which
will be held at the Regency Hotel:
Room rental $300
Dinner cost (per person) 25
Chartered buses 500
Favors and souvenirs (per person) 5
Band 900
Each person would pay $40 to attend; 200 attendees are
expected.
a. Will the event be profitable for the sorority? Show
computations.
b. How many people must attend for the sorority to break
even?
c. Suppose the sorority encouraged its members to drive to the
hotel and did not
charter the buses. Furthermore, a planned menu change will
reduce the cost per
meal by $2. If each member will still be charged $40, compute
the contribution
margin per person.
3. Break-even and other CVP relationships
Cedars Hospital has average revenue of $180 per patient day.
Variable costs are $45
per patient day; fixed costs total $4,320,000 per year.
a. How many patient days does the hospital need to break
even?
b. What level of revenue is needed to earn a target income of
$540,000?
c. If variable costs drop to $36 per patient day, what increase
in fixed costs can be
tolerated without changing the break-even point as determined
in part (a)?
waL80281_05_c05_113-140.indd 22 9/25/12 1:03 PM
135
CHAPTER 5Exercises
4. CVP relationships: Working backward
Determine the missing amounts in each of the independent cases
that follow:
Case Units
sold
Sales Variable
costs
Contribution
margin per unit
Fixed
costs
Net
income
A ? $70,000 $ ? $6 $14,000 $10,000
B 7,000 ? 42,000 5 ? 8,000
C 4,000 53,000 ? ? 21,000 (2,000)
D 8,000 92,000 40,000 ? 24,000 ?
5. Direct and absorption inventory costing
Milsap Industries began business on January 1 of the current
year, manufacturing
and selling a single product. Consider the data that follow:
Units Variable cost per unit Fixed costs
Production volume 80,000
Sales volume 72,000
Direct materials $1.30
Direct labor 2.80
Factory overhead 4.40 $540,000
Selling expenses 0.20 180,000
a. Compute the cost of the company’s ending inventory by
using direct costing.
b. Compute the cost of the company’s ending inventory by
using absorption costing.
c. Suppose that Milsap’s accountant had accidentally excluded
straight-line depre-
ciation on machinery from the data presented. Determine the
effect of this error
(overstate, understate, or no impact) on the company’s
1) direct costing ending inventory.
2) absorption costing ending inventory.
6. Direct and absorption income computations
Crawford Company began operations on January 1 of the
current year. The follow-
ing information has been gathered from the accounting records:
Variable costs per unit
Manufacturing: $12.50
Selling & administrative: $1.10
Fixed costs
Manufacturing: $120,000
Selling & administrative: $60,000
waL80281_05_c05_113-140.indd 23 9/25/12 1:03 PM
136
CHAPTER 5Problems
Production and sales amounted to 80,000 units and 75,000 units,
respectively.
The selling price is $17.
a. Compute net income for the year just ended by using the
direct costing method.
b. Compute net income for the year just ended by using the
absorption costing
method.
Problems
1. Cost behavior and analysis
The chief accountant of Stevenson Corporation is studying
certain costs (direct
labor, plant security, utilities, and maintenance) in an effort to
better control opera-
tions. Normal production activity ranges from 7,500 to 8,000
units per month. In
the past 3 months, the following cost behavior has been
observed:
Month 1 Month 2 Month 3
Production (units) 7,540 7,950 7,680
Direct labor $18,850 $19,875 $19,200
Plant security 14,600 14,600 14,600
Utilities 28,044 29,520 28,548
In addition, maintenance costs have displayed the following
step behavior:
Activity range (units) Cost
Up to 7,600 $ 8,000
7,601–7,800 9,500
7,801–8,000 11,000
Stevenson uses the high–low method to analyze cost behavior.
Instructions
a. Production for next month is expected to total 7,850 units.
Calculate the cost of
direct labor, plant security, utilities, and maintenance for this
level of activity.
b. Comment on the cost-effectiveness of producing at a 7,850-
unit level of activity
with respect to maintenance costs. If you believe this is an
ineffective production
level, describe how effectiveness could be improved.
c. There is a high probability that Stevenson’s production
volume will nearly double
in forthcoming months because of a new customer. Can the data
and methods
used in part (a) for predicting the cost of 7,850 units be
employed to estimate total
costs for, say, 17,500 units? Why?
waL80281_05_c05_113-140.indd 24 9/25/12 1:03 PM
137
CHAPTER 5Problems
2. Break-even and other CVP analysis
Hodge and Best manufactures a single product. The information
that follows
relates to current operations:
Sales (80,000 units , $15) $1,200,000
Less: Variable cost $720,000
Fixed cost 360,000 1,080,000
Net income $ 120,000
Instructions
a. The sales outlook for next year is bleak. Calculate the
number of units that must
be sold to break even if current revenue and cost behavior
patterns continue.
b. If Hodge and Best wishes to earn a target income of
$90,000 during the next
accounting period, what level of dollar sales must be generated?
c. Management is studying an increase in the selling price to
$18 per unit. If con-
sumers balk and volume drops, calculate the number of units
that must be sold
to earn the target income of $90,000. Should the change be
implemented? Why?
d. Hodge and Best’s projected break-even point and target
income are the result of
interactions of numerous financial events and transactions.
Determine the impact
of the following operating changes by filling in the blanks
below with “increase,”
“decrease,” or “not affect.”
1) An increase in direct labor cost will
_______________________ total
variable costs, _______________________ the contribution
margin, and
_______________________ the break-even point.
2) An increase in plant insurance will
_______________________ the break-even
point and _______________________ the dollar sales level
calculated in part (b).
3. Straightforward CVP analysis
FRB Inc. sells a single product for $40. The following costs and
expenses were
incurred at store No. 504:
Variable costs per unit Annual fixed costs
Invoice cost $24 Salaries $60,000
Sales commission 4 Advertising 14,000
Other 16,000
The company sold 8,200 units during 20X4.
Instructions
a. Compute the 20X4 break-even point in both dollar and unit
sales.
b. By how much will sales have to increase in 20X5 over
20X4 levels if management
wishes to earn a target income of $14,400?
waL80281_05_c05_113-140.indd 25 9/25/12 1:03 PM
138
CHAPTER 5Problems
c. At present, how much does each unit provide toward
covering FRB’s fixed costs
and generating income? Assume that management believes this
amount is too
low. What alternatives are available to FRB?
d. What would be the effect on the break-even point if
management reduced salary
costs by $11,600 and increased the $4 sales commission by
20%?
4. Break-even and other CVP analysis
Quebec Inc. manufactures and sells a single product. The
information that follows
relates to the year just ended, when 230,000 units were sold:
Sales price per unit $ 10
Variable cost per unit 4
Fixed costs 930,000
Instructions
a. Determine the number of units that Quebec sold in excess of
its break-even point.
b. If current revenue and cost patterns continue, compute the
dollar sales needed
next year to produce a target income of $492,000.
c. Assume that a different compensation plan was in effect
during the current year.
Rather than pay six salespeople an average salary of $36,000
each, management
has proposed that the salespeople receive a $10,000 base salary
and a 6% commis-
sion based on gross sales.
1) Would the company have been better off financially if the
new plan had been
adopted for the year just ended? By how much?
2) What effect might paying a commission have on gross sales?
Briefly explain.
d. In addition to the compensation plan described in part (c),
Quebec is studying
the impact of other operating changes as well. State whether
you agree or dis-
agree with the following findings of a newly hired staff
accountant:
1) A rise in property taxes will increase the break-even point.
2) A decrease in raw material cost will increase the
contribution margin and
decrease total fixed costs.
5. Direct and absorption costing
The following information pertains to Turbo Enterprises for the
year ended
December 31, 20X8:
Variable cost per unit:
Direct materials $ 6
Direct labor 4
Factory overhead 9
Selling & administrative expense 3
Total $ 22
waL80281_05_c05_113-140.indd 26 9/25/12 1:03 PM
139
CHAPTER 5Problems
Annual fixed costs:
Factory overhead $600,000
Selling &. administrative expense 115,000
Total $715,000
Other data (units):
Sales 21,000
Production 25,000
Inventory, 12/31/X8 11,000
The unit selling price is $62. Assume that costs have been
stable in recent years.
Instructions
a. Compute the number of units in the beginning inventory on
January 1, 20X8.
b. Calculate the cost of the December 31 inventory assuming
use of
1) direct costing.
2) absorption costing.
c. Prepare an income statement for the year ended December
31, 20X8, by using
direct costing.
d. Prepare an income statement for the year ended December
31, 20X8, by using
absorption costing.
6. Direct and absorption costing
The information that follows pertains to Consumer Products for
the year ended
December 31, 20X6:
Inventory, 1/1/X6 24,000 units
Units manufactured 80,000
Units sold 82,000
Inventory, 12/31/X6 ? units
Manufacturing costs:
Direct materials $3 per unit
Direct labor $5 per unit
Variable factory overhead $9 per unit
Fixed factory overhead $280,000
Selling & administrative expenses:
Variable $2 per unit
Fixed $136,000
waL80281_05_c05_113-140.indd 27 9/25/12 1:03 PM
140
CHAPTER 5Problems
The unit selling price is $26. Assume that costs have been
stable in recent years.
Instructions
a. Compute the number of units in the ending inventory.
b. Calculate the cost of a unit assuming use of
1) direct costing.
2) absorption costing.
c. Prepare an income statement for the year ended December
31, 20X6, by using
direct costing.
d. Prepare an income statement for the year ended December
31, 20X6, by using
absorption costing.
waL80281_05_c05_113-140.indd 28 9/25/12 1:03 PM
NUR 3870 Informatics in Health Care
Group Informatics Presentations
Directions:
- determine Team Leader (see responsibilities
below); determine assignments
based on rubric; determine due dates, etc.
o As a Group, complete a literature review, then create a
PowerPoint presentation to
be shared
o Be creative!
rubric on the following
pages as your guide!
Additional Responsibilities of the Team Leader:
-
Review areas:
o Finished presentation file as a ppt type of file
o A summary page in Word doc
o The reference list in Word doc
NUR 3870 Informatics in Health Care
Group Informatics Presentations
Please Review these Guidelines for Success!
Title Slide
& authors (all active Group members)
Abstract
citations here
-5 keywords)
Objectives
able to:
o At least 3 [these need to be clear, concise, and measurable]
Content:
Introduction of the Topic
o Background information on topic
o Define any key terms
o Provide specific information on concepts
o Provide specific examples as appropriate
o Be sure all objective content has been covered
Conclusion
o Restate key concepts
o Review the objectives
o *What do you want your audience to remember or take away
from this project?
Presentation
Reference List
file
Summary Page- As a Group….
Team Leader, please compile your Group’s answers into one
Word or pdf document
time?
ord or pdf file
NUR 3870 Informatics in Health Care
Group Informatics Presentations
Grading Rubric!!!
Possible Points
Title Slide
2.5
Abstract
2.5
Objectives 5
Content
70
Presentation
10
Reference List
5
Summary Page
5
Total 100
chapter 4
Costing Methods
Learning Objectives
• Understand the ethical duty of managerial accountants to
provide proper costing
information.
• Apply concepts and techniques that are used to fairly
measure and report job costs.
• Be able to track job costs, including overhead, through a
typical accounting system.
• Understand alternative costing concepts, such as process
costing and activity-based
costing.
istockphoto
waL80281_04_c04_083-112.indd 1 9/25/12 1:02 PM
84
CHAPTER 4Chapter Outline
Chapter Outline
4.1 Job Costing
Job Costing and the Ledger
Actual Overhead
Differences Between Actual and Applied Overhead
Mandatory Reporting of Overhead
Job Costing Is Not Only for Manufacturing
4.2 Process Costing Environments
Cost of Production Report
Case Study in Process Costing
4.3 Activity-Based Costing
ABC Modeling
ABC Example
What is the cost of producing a product or service? To the
untrained accountant, this question seems simple enough. But,
the more you learn about accounting, the more
difficult this question becomes to answer. How does one
identify all of the necessary ele-
ments that are needed to produce an output? The answer to this
question necessarily
includes direct material and direct labor. But you are also very
familiar with other factory
and nonfactory-related costs that must be incurred before a
product may be produced.
Typically, accountants will devise schemes by which costs are
captured and assigned to
products. When an accountant reports on the cost of a product
or service, he or she is
really reporting on measurements based on systematic processes
for cost assignment.
Accountants should not be flippant in developing their costing
procedures. Key busi-
ness decisions that impact the allocation of business resources,
and ultimately peoples’
livelihoods, are at stake. As such, accountants have a high
ethical duty to develop and
correctly deploy fair and defensible models for product costing.
This chapter provides
insight into costing techniques that offer general acceptability
in arriving at an answer to
the all-important question about the cost of a product or service.
Several methods can be used for costing purposes. They are
somewhat dependent on the
nature of the product that is being produced and/or the process
by which production
occurs. One such method is job costing, which is best suited to
those situations in which
goods and services are produced upon receipt of a customer
order, according to customer
specifications, or in separate batches. For example, a home
builder would likely accumulate
costs for each unique house that it produces. Materials and labor
can be readily identified
with each house, and the costing method will accumulate costs
accordingly. In contrast,
process costing captures costs for each process or department. It
is applicable to homog-
enous goods that are produced in batches or continuous
processes. An example is the pro-
duction of candy. Candy might be produced in stages such as
mixing, cutting, and cooking.
Within the mixing department, the cost of all ingredients and
labor is accumulated and
divided across the total pounds of finished goods to find a per-
pound (or other measure)
cost for the mixed material. Similar cost assignment processes
are followed within each
department to arrive at the cost of a final box of candy. The
bulk of the remainder of this
chapter will introduce you to the key components in job and
process costing techniques.
waL80281_04_c04_083-112.indd 2 9/25/12 1:02 PM
85
CHAPTER 4Section 4.1 Job Costing
Accountants have long thought about costing methods and have
challenged the basic
assumptions on which costing decisions are made. There is
considerable literature on this
subject, and alternative models have been proposed. One model
that has a strong group
of proponents is activity-based costing. This chapter will close
with a brief introduction
to this alternative approach to answering questions about what a
product or service costs.
4.1 Job Costing
Job costing entails the development of a tracking system or
database by which costs are matched to jobs. This generally
entails specifically identifying the amount of direct
labor and direct material that is used on a specific job. The
other overhead costs are then
assigned to a job by reliance on a predetermined overhead
allocation formula. One com-
mon approach is to take the period’s total anticipated overhead
and divide it by the antici-
pated labor hours to arrive at an amount of overhead that is
expected to be incurred “per
labor” (overhead can be applied on other application bases, such
as material usage; the
goal is to try to closely associate overhead to jobs based on
consumption of overhead).
A logical starting point for costing a job is to determine the
amount of direct labor that
is attributable to a specific job. Employees typically complete
reports (via a time card,
electronic clock, spreadsheet, etc.) indicating the amount of
time they worked. From the
employees’ perspective, these time reports are important
because they may be used to
establish how much they are owed (i.e., how many hours they
worked). However, in addi-
tion to hours worked, time reports usually have codes to
identify the work performed.
These codes can be matched to specific tasks on specific jobs,
but they will also include
time spent on travel, breaks, job setups, and other work-related
tasks that do not track to a
specific product that is being produced. By querying the
company’s accounting system, it
then becomes possible to determine all of the direct labor time
that was spent on a specific
job. The indirect labor costs not traced to a specific job become
part of the overhead cost
pool, which is allocated across all jobs using the overhead
application rate.
Direct materials are assigned to jobs in a manner very similar to
direct labor. It is very
important that material that is used on a specific job be matched
to the job. Just as employees
are expected to maintain time records, they should also
complete materials requisition
forms. These forms are used to pull raw materials from
inventory and transfer them into
work in process. A very detailed coding system must be
established that allows tracking
of material from inventory into a specific job. Sometimes, a
materials requisition form will
only show inventory by part number and not identify the cost of
the material. When this
is the case, additional systems must be put in place to
subsequently allow the company
to identify the cost of the materials. Great care must always be
taken to match the right
cost to the right item and the right item to the right job. Indirect
materials, such as tape,
screws, and touch-up paint, are not traced to a specific job.
These costs should instead be
contemplated in the overhead cost pool that is allocated among
all jobs.
Previously, it was mentioned that a predetermined overhead rate
is used to assign over-
head to a particular job. It has likely already occurred to you
that there can be differences
between the actual overhead incurred and the amount applied to
production via the pre-
determined overhead application rate. This difference cannot be
ignored indefinitely, and
you will soon see how it is to be processed. For the moment,
let’s not be concerned with
those potential differences and instead focus on a job cost sheet
(Exhibit 4.1) that sum-
marizes direct labor, direct material, and overhead cost that is
applied to a particular job:
waL80281_04_c04_083-112.indd 3 9/25/12 1:02 PM
86
CHAPTER 4Section 4.1 Job Costing
Exhibit 4.1
D
ir
e
ct
L
a
b
o
r
S
o
u
rc
e
C
o
d
e
R
a
te
H
o
u
rs
Q
ty
To
ta
l
To
ta
l
C
o
st
P
e
r
U
n
it
Q
ty
B
a
si
s
To
ta
l
R
a
te
D
ir
e
ct
M
a
te
ri
a
l
A
p
p
lie
d
O
ve
rh
e
a
d
To
ta
l
N
o
v.
1
5
,
2
0
X
7
B
o
b
T
h
u
rm
a
n
S
u
sa
n
M
a
rk
e
y
S
te
e
l
W
h
e
e
ls
N
o
v.
1
6
,
2
0
X
7
B
o
b
T
h
u
rm
a
n
R
a
vi
R
a
jn
a
r
N
o
v.
1
7
,
2
0
X
7
B
o
b
T
h
u
rm
a
n
S
u
sa
n
M
a
rk
e
y
G
la
ss
A
p
p
lie
d
O
ve
rh
e
a
d
T
im
e
C
a
rd
#
6
5
7
3
T
im
e
C
a
rd
#
6
9
9
8
M
a
te
ri
a
ls
R
e
q
. A
5
6
M
a
te
ri
a
ls
R
e
q
. B
1
7
T
im
e
C
a
rd
#
6
5
7
3
T
im
e
C
a
rd
#
7
0
0
2
T
im
e
C
a
rd
#
6
5
7
3
T
im
e
C
a
rd
#
6
9
9
8
M
a
te
ri
a
ls
R
e
q
. B
2
4
To
ta
ls
8
.0
0
6
.0
0
6
.0
0
8
.0
0
2
.0
0
8
.0
0
3
8
.0
0
$
1
2
$
18
$
1
2
$
1
5
$
1
2
$
1
8
$
9
6
.0
0
$
1
0
8
.0
0
$
7
2
.0
0
$
1
2
0
.0
0
$
2
4
.0
0
$
1
4
4
.0
0
$
5
6
4
.0
0
4
0
0
lb
s
6
u
n
its
2
5
s
q
f
t
$
2
.0
0
$
1
5
.0
0
$
3
.0
0
$
8
0
0
.0
0
$
9
0
.0
0
$
7
5
.0
0
$
9
6
5
.0
0
3
8
.0
0
$
1
1
$
9
6
.0
0
$
1
0
8
.0
0
$
8
0
0
.0
0
$
9
0
.0
0
$
7
2
.0
0
$
1
2
0
.0
0
$
2
4
.0
0
$
1
4
4
.0
0
$
7
5
.0
0
$
4
1
8
.0
0
$
1
,9
4
7
.0
0
$
4
1
8
.0
0
$
4
1
8
.0
0
Tu
rn
k
e
y
E
n
te
rp
ri
s
e
s
J
O
B
C
O
S
T
S
H
E
E
T
L
a
b
o
r
H
o
u
rs
waL80281_04_c04_083-112.indd 4 9/25/12 1:02 PM
87
CHAPTER 4Section 4.1 Job Costing
Exhibit 4.1 is quite typical. The direct labor hours are drawn
from the employee time cards
and associated with each employee’s wage rate. The direct
materials are drawn from the
materials requisition forms (or similar documents) and
associated with the cost of specific
inventory items, and the overhead is applied based on the
predetermined rates.
Be aware that technology can greatly facilitate preparation of
job cost sheets. For instance,
materials can be automatically tracked to jobs by scanners and
radio frequency identifica-
tion chips. Furthermore, the job cost sheet is really just a
compilation of data into a use-
ful report format. The data may be mined from within a
sophisticated database. Beyond
this summarized data, you also need to recognize that
information must be captured by
a company’s general ledger system and lead to the preparation
of aggregated data for
reporting purposes.
Job Costing and the Ledger
The data, which are foundational for the preceding job cost
sheet, must also be transferred
to a company’s general ledger system. A robust information
system will do this quite
easily and automatically. However, it is necessary for you to see
the debit/credit process
to fully comprehend the cost flow through an accounting system
and into the resulting
financial statements.
Let’s begin by considering the cost flows for the various factors
of production. The typical
sequence of steps for direct materials entails the purchase of
raw materials from a sup-
plier, a transfer of raw materials into work in process as
production occurs, the transfer
of the cost of completed goods into finished goods inventory,
and finally the transfer of
inventory to cost of goods sold when products are sold and
delivered to a customer. Direct
labor is slightly simpler because the first step is essentially not
applicable. As wages are
incurred, those costs are accumulated straight into Work in
Process. Upon completion,
the labor cost is transferred to Finished Goods Inventory and
then on to Cost of Goods
Sold at the time of sale. The factory overhead items, such as
factory depreciation, main-
tenance, supplies, indirect labor, and indirect material, are not
directly added to Work in
Process. Instead, these costs are introduced into Work in
Process based on the predeter-
mined application base; if overhead is applied based on labor
hours, it may well be that
overhead is attached concurrent with direct labor costs. The
following entries illustrate
the full process for assigning job costs. Carefully review each
entry, taking special note of
the related journal entry description:
10-1-X2 Raw Materials Inventory 965
Accounts Payable 965
To record purchase of materials, placing costs into raw
materials inventory
10-15-X2 Work in Process Inventory 1,947
Raw Materials Inventory 965
Salaries Payable 564
Factory Overhead 418
To transfer raw materials to production, record direct labor
costs on job, and apply overhead
at the predetermined rate of $11 per direct labor hour
waL80281_04_c04_083-112.indd 5 9/25/12 1:02 PM
88
CHAPTER 4Section 4.1 Job Costing
10-24-X2 Finished Goods Inventory 1,947
Work in Process Inventory 1,947
To transfer total cost of a completed unit to finished goods
inventory
10-28-X2 Accounts Receivable 2,500
Sales 2,500
To record sale of finished for $2,500
Cost of Goods Sold 1,947
Finished Goods Inventory 1,947
To remove cost of sold unit from the finished goods inventory
Actual Overhead
Students are sometimes slightly confused by their first exposure
to the accounting for
factory overhead. In previous chapters, you saw how salaries,
utilities, depreciation, the
consumption of supplies, and similar costs were charged (i.e.,
debited) directly to vari-
ous expense accounts. The accounting for these types of costs in
a manufacturing envi-
ronment now gets a slight twist. In the preceding entries, we
credited an account titled
“Factory Overhead” for the allocated amount of overhead cost.
What is the nature of this
overhead account? It clearly is not Cash, Accounts Payable, or
some other familiar account
that would ordinarily be related to an expenditure. Instead, it is
a unique account that is
used to accumulate and allocate the actual overhead costs. The
credit you witnessed was
the allocation effect. The accumulation of the actual costs
results in a debit to Factory
Overhead as follows:
10-XX-X2 Factory Overhead 450
Salaries Payable 150
Supplies 75
Accumulated Depreciation 100
Utilities Payable 125
To record actual factory overhead costs
The previous credits are those customarily associated with
incurring salaries, using sup-
plies, recording depreciation, and utilizing utilities. However,
instead of debiting the cus-
tomary expense accounts, the costs are charged to Factory
Overhead. The net result of this
process is to debit Factory Overhead for the actual costs
incurred and credit Factory Over-
head as these costs are allocated to Work in Process (which
eventually gets transferred to
expense as Cost of Goods Sold as shown via the preceding
entries). You may be wonder-
ing what happens if the amount of overhead actually incurred
differs from the amount
allocated, and that question is answered in the following
discussion.
waL80281_04_c04_083-112.indd 6 9/25/12 1:03 PM
89
CHAPTER 4Section 4.1 Job Costing
Differences Between Actual and Applied Overhead
An actual company would, of course, have many jobs in
process, so the preceding journal
entries for only one job present a very simple picture of costs
flows within the organiza-
tion. Nevertheless, it is a realistic portrait. Notice that assigned
costs totaled $1,947 (pro-
ducing a $553 profit: $2,500 sales price 2 $1,947 of goods
sold), including allocated over-
head of $418. However, the actual overhead was $450. The fact
that actual overhead was
more than the amount assigned to production represents
underapplied overhead. This
is indicative of an unfavorable outcome. More was actually
spent than was anticipated
based on the application rate. This amount cannot be ignored.
Based on the previous
journal entries, the Factory Overhead account contains a net
debit of $32 ($450 in debits
and $418 in credits). Accountants dispose of this balance by one
of several processes. A
popular approach is to adjust cost of goods sold as follows:
10-31-X2 Cost of Goods Sold 32
Factory Overhead 32
To transfer underapplied overhead to cost of goods sold
This entry causes an increase in cost of goods sold for the
excess overhead spending.
Alternative methods for clearing the Factory Overhead account
are usually covered in
advanced accounting classes. What is most important for you to
note at this time is that
the Factory Overhead is indeed zeroed out. It is not a financial
statement account. Rather,
it is a temporary account for accumulating and transferring
overhead costs into produc-
tion. If applied overhead had exceeded the actual amount,
overhead would have been
overapplied. Overapplied overhead would be cleared in just the
opposite manner of that
illustrated for underapplied overhead.
Mandatory Reporting of Overhead
Although managerial accounting information is generally
viewed as for internal use only,
be mindful that many manufacturing companies do prepare
external financial statements.
Also, generally accepted accounting principles (GAAP) dictate
the form and content of
those reports. GAAP requires that underapplied overhead
relating to idle facilities, wasted
material, the allocation of fixed production overhead, and so
forth be charged to current
period income by means similar to those just illustrated.
Job Costing Is Not Only for Manufacturing
Most textbook illustrations tend to demonstrate job costing in
the context of a product-
manufacturing scenario. However, at least in the United States,
most employees now work
in the service sector. This includes the fields of accounting,
sales, law, food service, elec-
tronic information, and transportation. In addition, the not-for-
profit and governmental
sectors are significant components of the economy. Activities
relate to education, health
care, fire protection, law enforcement, transportation, human
services, and the like. The
idea of a “job” can easily be expanded from a tangible product
to a particular activity. In
health care, a job could be a surgical procedure. In accounting,
a job could be preparation
waL80281_04_c04_083-112.indd 7 9/25/12 1:03 PM
90
CHAPTER 4Section 4.2 Process Costing Environments
of a tax return. In education, a job could be a particular course.
Measuring the cost of
this output is equally important, and the job costing techniques
remain fully applicable.
For example, an architectural firm would likely track time
(direct labor) devoted to each
design. Direct materials can relate to printing of blueprints.
Overhead allocations can
become substantial, including the office costs, computers,
software, and so forth. Success-
ful management of a service-related entity requires careful
attention to costing informa-
tion. As you can imagine, it is easy to underestimate the full
cost of providing services
to customers; it is ultimately necessary to recover not only
direct labor but also the other
significant costs of operations.
4.2 Process Costing Environments
Sometimes job costing techniques simply do not apply.
Production may instead involve a continuous flow of raw
materials through production departments. The output is
not identifiable as discrete jobs. Rather, output consists of a
homogenous product. Paint,
petroleum distillates, paper products, steel, glass, and many
other products display such
attributes. It becomes virtually impossible to match direct labor
and direct material to a
particular gallon, pound, square foot, or other measure of final
output. Nevertheless, it is
vitally important for management to be able to assess the cost of
production. Companies
facing this challenge often turn to process costing. Process
costing allocates the total cost
of production across all units of output. This usually entails
accumulation of costs for
each stage (or department) of production and assigning those
costs to all output from
that stage.
Process costing has certain attributes in common with job
costing. Material, labor, and fac-
tory overhead are all still assigned to work in process, and they
are eventually transferred
on to finished goods and then to cost of goods sold. In this
respect, the journal entries are
quite like those applicable to job costing. The main difference
between job costing and
process costing is that process costing captures costs by process
or department rather
than by specific job. If you consider a candy factory, three
departments define the basic
processes: mixing ingredients, cutting the ingredients into bite-
sized pieces, and cooking.
A separate Work in Process account will likely be used for each
department.
The Work in Process account for the mixing department will
capture (i.e., be debited) the
aggregate amount of direct material, direct labor, and allocated
factory overhead incurred
during a period. The accounts utilized in this entry would
appear like the October 15
entry that was used for the job costing illustration. Assuming a
weighted-average cost
assumption (in contrast to FIFO or some other technique), the
total dollar amount accu-
mulated in this account would be divided by the total
production (this could be pounds or
some other measure) to find per-unit cost (e.g., dollars per
pound). The per-unit cost can
then be used to allocate cost between goods still in process and
those that were completed
and transferred to the cutting department. The journal entry to
reflect a transfer out of cost
from the mixing department to the cutting department would
appear as follows:
waL80281_04_c04_083-112.indd 8 9/25/12 1:03 PM
91
CHAPTER 4Section 4.2 Process Costing Environments
10-30-X2 Work in Process Inventory 2 Cutting 50,000
Work in Process Inv. 2 Mixing 50,000
To transfer cost assigned to completed pounds of mixed candy
to the cutting
department
The cutting department’s Work in Process account would
therefore include the direct
material, direct labor, and factory overhead generated directly
within that department
and also the carried forward cost from the preceding mixing
department. A similar pro-
cess would be used to transfer work completed by the cutting
department to the cooking
department. At the end of the production process, the Work in
Process account of the final
stage (cooking) would be cleared of the accumulated costs by a
transfer of those costs to
finished goods inventory. This entry would be just as the
October 24 entry for the job cost-
ing example. By carefully following this approach, the finished
goods inventory will have
completely captured the costs of production generated within
each department.
Cost of Production Report
When process costing methods are used, management of each
department will likely
receive a cost of production report for each period. This report
is very similar in
purpose to a job cost sheet. It details the amount of direct
material, direct labor, and
factory overhead incurred by the department (rather than by job
as with a job cost
sheet). It then shows how those costs were allocated to total
production and provides
supporting documentation for the journal entries that were used
to transfer costs to
successive departments.
To understand a cost of production report requires the
introduction of one new dimen-
sion, that of equivalent units. An equivalent unit is a physical
unit expressed in terms
of a finished unit. This is a relatively simple concept. As an
example, assume that
100 pounds of candy was 40% complete within a particular
department. This is assumed
to be equivalent to the production of 40 pounds (100 pounds 3
40% complete). Although
none of the 100 pounds is complete, we can abstractly say that
we produced the equiva-
lent of 40 pounds.
The concept of equivalent units is exceedingly important to
grasp. It is rare that a com-
pany will not have goods in production at the end of an
accounting period. Accounting
periods end on regular intervals, but there is no compelling
business reason to cease pro-
duction with the flip of a page on a calendar. Indeed, many
production processes are dif-
ficult to stop and restart effectively (e.g., heating a kiln). It is
better to keep the production
flow going. Thus, it is frequently necessary for managerial
accountants to estimate the
equivalent units under production. As you examine the example
cost of production report
that follows, you will see how this concept comes into play.
The following example shows a simplified cost of production
report for one department
for 1 month. As you inspect this report, take special note that
the ending work in process
was assumed to be 40% complete. This report shows that of the
total cost of $1,500,000,
$1,250,000 was transferred to the next department, and
$250,000 remained in work in pro-
cess at the end of the month.
waL80281_04_c04_083-112.indd 9 9/25/12 1:03 PM
92
CHAPTER 4Section 4.2 Process Costing Environments
SWEET CANDY COMPANY
Cost of Production Report for Mixing Department
for the Month of October 20XX
Total
Pounds
Percent
Complete
Equivalent
Units
Transferred to Cutting Department 500,000 100% 500,000
In production at end of month 250,000 40% 100,000
Total equivalent units for the
month
600,000
Cost
Calculations
Cost of beginning inventory $ 400,000
Additional costs during the month 1,100,000
Total costs to account for $1,500,000
Equivalent units from above ÷ 600,000
Per unit cost $ 2.50
Equivalent
Units
Per Unit
Cost
Cost
Assignment
Total pounds transferred to Cutting
Department
500,000 $2.50 $1,250,000
Equivalent units in ending work in
process
100,000 $2.50 250,000
600,000 $1,500,000
The preceding cost of production report was simplified by an
assumption that materials,
labor, and overhead were all introduced into production
uniformly. If you study more
advanced cost accounting courses, you will learn how to
account for scenarios where that
assumption is violated. Essentially, it becomes necessary to
separate the cost of materials,
labor, and overhead so that you derive separate costs per
equivalent for each component.
waL80281_04_c04_083-112.indd 10 9/25/12 1:03 PM
93
CHAPTER 4Section 4.2 Process Costing Environments
Case Study in Process Costing
To further illustrate process costing, let’s focus on a
comprehensive case study. Yum Gum
produces chewing gum in a three-step process consisting of (a)
blending ingredients,
(b) cooking, and (c) cutting and packing. Each process involves
a uniform incurrence and
introduction of materials, labor, and overhead. Following are
cost of production reports
for each of the three departments for August. The amounts are
all assumed, but do take
note of how costs transferred out of one department are received
into the next department.
YUM GUM
Cost of Production Report for Blending Department
for the Month of August
Total
Pounds
Percent
Complete
Equivalent
Units
Transferred to Cooking
Department
300,000 100% 300,000
In production at end of month 100,000 25% 25,000
Total equivalent units for the
month
325,000
Cost
Calculations
Cost of beginning inventory $ 80,000
Additional costs during the month 570,000
Total costs to account for $650,000
Equivalent units from above ÷ 325,000
Per unit cost $2.00
Equivalent
Units
Per Unit
Cost
Cost
Assignment
Total pounds transferred to Cooking
Department
300,000 $ 2.00 $600,000
Equivalent units in ending work in
process
25,000 $ 2.00 50,000
325,000 $ 650,000
waL80281_04_c04_083-112.indd 11 9/25/12 1:03 PM
94
CHAPTER 4Section 4.2 Process Costing Environments
YUM GUM
Cost of Production Report for Cooking Department
for the Month of August
Total
Pounds
Percent
Complete
Equivalent
Units
Transferred to Cutting Department 250,000 100% 250,000
In production at end of month 60,000 30% 18,000
Total equivalent units for the
month
268,000
Cost
Calculations
Cost of beginning inventory $ 35,000
Costs transferred in from Blending
Department
600,000
Additional costs during the month 236,000
Total costs to account for $ 871,000
Equivalent units from above ÷ 268,000
Per unit cost $ 3.25
Equivalent
Units
Per Unit
Cost
Cost
Assignment
Total pounds transferred to Cutting
Department
250,000 $3.25 $812,500
Equivalent units in ending work in
process
18,000 $3.25 58,500
268,000 $871,000
waL80281_04_c04_083-112.indd 12 9/25/12 1:03 PM
95
CHAPTER 4Section 4.2 Process Costing Environments
YUM GUM
Cost of Production Report for Cutting Department
for the Month of August
Total
Pounds
Percent
Complete
Equivalent
Units
Transferred to Finished Goods 275,000 100% 275,000
In production at end of month 40,000 60% 24,000
Total equivalent units for the
month
299,000
Cost
Calculations
Cost of beginning inventory $ 260,000
Additional costs during the month 123,500
Costs transferred in from Cooking
Department
812,500
Total costs to account for $1,196,000
Equivalent units from above ÷ 299,000
Per unit cost $ 4.00
Equivalent
Units
Per Unit
Cost
Cost
Assignment
Total pounds transferred to
Finished Goods
275,000 $4.00 $1,100,000
Equivalent units in ending work in
process
24,000 $4.00 96,000
299,000 $1,196,000
The cost of production report for each department triggers
information necessary to sup-
port the following journal entries. Be sure to observe the unique
entries where costs are
handed off from one department to the next.
waL80281_04_c04_083-112.indd 13 9/25/12 1:03 PM
96
CHAPTER 4Section 4.2 Process Costing Environments
Journal entries related to blending:
8-31-XX Work in Process Inventory 2 Blending 570,000
Raw Materials Inventory 190,000
Salaries Payable 190,000
Factory Overhead 190,000
To transfer raw materials to production, record direct labor
costs for blending, and
apply overhead at the predetermined rate
8-31-XX Work in Process Inventory 2 Cooking 600,000
Work in Process Inventory 2 Blending 600,000
To transfer cost assigned to completed pounds of blended gum
to cooking department
Journal entries related to cooking:
8-31-XX Work in Process Inventory 2 Cooking 236,000
Raw Materials Inventory 78,667
Salaries Payable 78,667
Factory Overhead 78,666
To transfer raw materials to production, record direct labor
costs for cooking, and
apply overhead at the predetermined rate
8-31-XX Work in Process Inventory 2 Cutting 812,500
Work in Process Inventory 2 Cooking 812,500
To transfer cost assigned to completed pounds of cooked gum to
cutting department
Journal entries related to cutting:
8-31-XX Work in Process Inventory 2 Cutting 123,500
Raw Materials Inventory 41,167
Salaries Payable 41,167
Factory Overhead 41,166
To transfer raw materials to production, record direct labor
costs for cutting, and apply
overhead at the predetermined rate
8-31-XX Finished Goods Inventory 1,100,000
Work in Process Inventory 2 Cutting 1,100,000
To transfer cost assigned to completed pounds of cut gum to
finished goods
waL80281_04_c04_083-112.indd 14 9/25/12 1:03 PM
97
CHAPTER 4Section 4.3 Activity-Based Costing
This comprehensive example shows how costs are monitored,
accumulated, and assigned
to finished goods. Bear in mind that the comingling of
ingredients and involvement of
numerous steps makes it exceedingly difficult to have an
intuitive awareness of costs for
goods that are produced via continuous processes. Process
costing is essential for con-
trolling costs and setting pricing in such environments.
4.3 Activity-Based Costing
Both job costing and process costing methods divide costs
between product and period costs. As you know, period costs
are charged against income as they occur, and they
generally relate to selling, general, and administrative (SG&A)
activities. In contrast,
direct materials, direct labor, and factory overhead are assigned
to inventory. One concep-
tual shortcoming is that it becomes difficult to fully
contemplate the true cost of a finished
product. Arguably, the cost of producing a product should
sometimes take into account
a portion of the organization’s SG&A. For instance, buying raw
materials is an adminis-
trative task: Why is the cost of this activity not assigned to
inventory? Conversely, lawn
maintenance for a factory is usually part of factory overhead:
Why does the cost of that
activity become assigned to inventory when the cost will be
incurred no matter how many
units are produced?
Activity-based costing (ABC) attempts to overcome deficiencies
such as those cited in
the preceding paragraph. ABC requires a new mind-set as
compared to traditional cost-
ing methods. Some companies have embraced ABC, and others
see it as too radical of a
departure from traditional costing methods. Indeed, ABC is not
acceptable for external
reporting under GAAP. Thus, companies that implement aspects
of ABC typically do so
to supplement traditional costing information. ABC is normally
for internal use only and
is intended to facilitate internal decision-making processes by
pinpointing actual (full)
production costs more precisely.
ABC requires one to abandon attempts to distinguish product
and period costs. Instead,
ABC is a costing model that divides production into core cost
objects and activities, defines
the costs for each, and then allocates activity costs to cost
objects based on how much of a
particular activity is consumed by the cost object. This results
in products absorbing costs
of manufacturing and nonmanufacturing activities alike.
Conversely, some manufactur-
ing costs may not attach to any products. The driving principle
of ABC is that a product’s
cost is based only on the cost of capacity utilized in producing
the product. Unused capac-
ity is not assessed or allocated to production.
Remember that traditional costing approaches usually allocate
all manufacturing costs
(via the overhead application rate), whether related to excess
capacity or not, to the inven-
tory actually produced. This has the potential to distort the
measured cost of production,
thereby limiting a manager’s ability to make decisions about
pricing and production. As
you might suspect, important business decisions are based on
assessment of product prof-
itability. To the extent a product’s sales price is set by market
conditions, and profit is seen
as the sales price minus product cost, the determination of a
product’s cost becomes criti-
cal in deciding on its fate.
waL80281_04_c04_083-112.indd 15 9/25/12 1:03 PM
98
CHAPTER 4Section 4.3 Activity-Based Costing
ABC Modeling
If you think about traditional costing, you will quickly conclude
that the cost object is
normally a product or service. With ABC, the concept of a cost
object is far more expan-
sive. Cost objects expand to also include customers, markets,
and similarly identifiable
items or events that require activity to support. For example, a
customer may receive a
quarterly visit from a sales representative, no matter the level of
purchasing activity. The
customer would be a cost object, and activities to support the
customer might include
an airline ticket, hotel bill, and so forth. These activities have a
clear cost that is traceable
to the customer (i.e., the cost object) rather than the products
produced/sold or period
incurred. A business is apt to have many cost objects and
hundreds of activities in sup-
port thereof. Therefore, the first step in ABC implementation
entails a detailed study of
processes and costs. This study is usually supported by
flowcharts and diagrams, and
it may resemble something that looks more like it was
developed by an engineer than a
managerial accountant.
In linking activities to cost objects, it is important to consider
that activities occur at many
levels. Some activities occur at the unit level. There is a one-to-
one correspondence with a
unit of output. Final inspection of each car for an automobile
manufacturer is an example.
Other activities occur at a batch level. Global shipping of
containers is an example; the
same amount of effort must be expended to clear customs,
regardless of the quantity of
individual products within a container. Thus, shipping a
container would be a batch-level
activity. Other activities occur at much higher levels. Product-
level activities include
designing a new product. Customer-level activities include
developing catalogs and
sales calls; in other words, the amount of activity is dependent
on the number of custom-
ers. Some businesses even identify market-level activities (Asia,
Europe, North America,
etc.). At the highest level are entity-sustaining activities, such
as the cost of a corporate
audit. The identification of activities is unique to each
company, and considerable study
and thought is needed to properly map a company’s activities.
Once all activities and cost objects have been identified, it next
becomes necessary to
study how the organization’s costs align with activities and
objects. Basically, each
cost is identified as one of three types. First, some costs are
directly traceable to a specific
cost object. Direct material is a clear example of a cost that is
attributable to the “product”
cost object. You are quite familiar with this concept because
this piece is the same under
traditional costing and ABC. Moving to a less familiar concept,
the cost of printing a cata-
log would be traced to a “customer” cost object. Once all costs
that can be directly traced
are determined, the second step is to attempt to allocate
remaining costs to specific activi-
ties. For some costs, this is very logical. The cost of a new
product design team would be
allocated to the product-level design activity. At other times,
considerable judgment must
be applied to make the allocation. Consider the light bill for the
office space; perhaps 10%
of this amount is for electricity usage within the design
department’s space. You can see
that ABC quickly entails a degree of complexity. Finally, some
costs do not seem to match
with any cost object or activity. This third grouping of costs is
not assigned to any activity
or cost object. The fact that a cost is not assigned to a cost
object or activity does not mean
that it is to be ignored; it is expensed but should be closely
monitored by management.
The final step in ABC requires that the cost of activities be
allocated to cost objects. For
example, the accumulated cost of the design activity must
finally be allocated to cost
objects. If three new products were developed, it might be
appropriate that the design
activity’s total cost be shared one-third by each new product.
waL80281_04_c04_083-112.indd 16 9/25/12 1:03 PM
99
CHAPTER 4Section 4.3 Activity-Based Costing
Exhibit 4.2 is an attempt to recap the overall design of an ABC
system:
Exhibit 4.2
ABC Example
Because of its complexity, it is easy to quickly lose sight of the
purpose of ABC. ABC is
intended to improve measures of cost. By introducing activity
cost pools as an interme-
diate step for selected costs (rather than allocating every cost
directly to a product or
period), we are much better able to allocate the costs to end
objects (products, customers,
etc.). Without activity cost pools, it becomes difficult to
connect each cost with final cost
objects. A simplified example should prove quite helpful in
clarifying how ABC works.
Hong sells three products. Each product generates exactly
$1,750,000 in total sales. Two
products (A and B) are manufactured internally, and one (C) is
outsourced. A and C are sold
via direct sales efforts, and B is sold only via a website. For
simplicity, assume Hong has
only four identifiable activities: manufacturing, direct sales,
administration, and web sup-
port. The cost of manufacturing ($1,000,000, excluding direct
materials and direct labor) is
allocated 50% to A and 50% to B. The study of the cost of
direct sales ($800,000) revealed
that it is attributable 70% to A and 30% to C. Administrative
activities ($1,200,000) are
found to be consumed 20% by A, 30% by B, and 50% by C.
Finally, web support ($100,000)
is 100% attributable to B. Let’s assume that there are no costs
that cannot be traced to a
particular cost object or activity.
ASSIGN COSTS TO
ACTIVITIES WHEN NOT
TRACEABLE TO COST
OBJECT
ADOPT ALLOCATION
SCHEME TO TRANSFER
ACTIVITY COSTS TO
COST OBJECTS
CHARGED TO EXPENSE
BUT MONITORED
CLOSELY AS PART OF
OVERALL FINANCIAL
MANAGEMENT
FINAL COST
DETERMINATION FOR
COST OBJECTS
DETERMINE
COSTS
STUDY COSTS AND
PROCESSES
TRACE COSTS TO COST
OBJECTS WHEN POSSIBLE
COSTS THAT ARE NOT
TRACEABLE OR ASSIGNABLE
waL80281_04_c04_083-112.indd 17 9/25/12 1:03 PM
100
CHAPTER 4Section 4.3 Activity-Based Costing
Table 4.1 reveals the ABC approach to assessing costs for each
final product.
Table 4.1: The ABC approach to assessing costs
Product A Product B Product C
Direct materials and labor (traceable) $500,000 $750,000
Purchase of outsourced product (traceable) $900,000
Manufacturing activity (allocated activity) 500,000 500,000
Direct sales (allocated activity) 560,000 240,000
Administration (allocated activity) 240,000 360,000 600,000
Web support (allocated activity) - 100,000
-
Total cost assignment $1,800,000 $1,710,000 $1,740,000
The costs in the preceding table were either directly traceable to
cost object A, B, and C
or allocated based on the given percentages. The resulting total
cost assignment shows
that only products B and C are profitable (remember that each
product had total sales of
$1,750,000). A traditional costing model would not pinpoint
these facts nearly so precisely.
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx
chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx

More Related Content

Similar to chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx

Chapter 10Cost Estimation and Cost- Volume-Profit Relati.docx
Chapter 10Cost Estimation and Cost- Volume-Profit Relati.docxChapter 10Cost Estimation and Cost- Volume-Profit Relati.docx
Chapter 10Cost Estimation and Cost- Volume-Profit Relati.docx
keturahhazelhurst
 
Cpk guide 0211_tech1
Cpk guide 0211_tech1Cpk guide 0211_tech1
Cpk guide 0211_tech1
Piyush Bose
 
Final SAS Day 2015 Poster
Final SAS Day 2015 PosterFinal SAS Day 2015 Poster
Final SAS Day 2015 Poster
Reuben Hilliard
 
1A p p e n d i x A APPENDIX AMODELING ANALYSIS WITH E.docx
1A p p e n d i x  A APPENDIX AMODELING ANALYSIS WITH E.docx1A p p e n d i x  A APPENDIX AMODELING ANALYSIS WITH E.docx
1A p p e n d i x A APPENDIX AMODELING ANALYSIS WITH E.docx
LyndonPelletier761
 
SPSSAssignment2_Report_BerkeleyCTeate
SPSSAssignment2_Report_BerkeleyCTeateSPSSAssignment2_Report_BerkeleyCTeate
SPSSAssignment2_Report_BerkeleyCTeate
Berkeley Teate
 
MA909 report_RiskGlobalX
MA909 report_RiskGlobalXMA909 report_RiskGlobalX
MA909 report_RiskGlobalX
Manling Zhang
 
Cost, volume, profit Analysis. for decision making
Cost, volume, profit Analysis. for decision makingCost, volume, profit Analysis. for decision making
Cost, volume, profit Analysis. for decision making
HAFIDHISAIDI1
 

Similar to chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx (17)

Presentation1
Presentation1Presentation1
Presentation1
 
lanen_5e_ch05_student.ppt
lanen_5e_ch05_student.pptlanen_5e_ch05_student.ppt
lanen_5e_ch05_student.ppt
 
Churn Analysis in Telecom Industry
Churn Analysis in Telecom IndustryChurn Analysis in Telecom Industry
Churn Analysis in Telecom Industry
 
Don't Bet on a Hot Summer
Don't Bet on a Hot SummerDon't Bet on a Hot Summer
Don't Bet on a Hot Summer
 
Telecom customer churn prediction
Telecom customer churn predictionTelecom customer churn prediction
Telecom customer churn prediction
 
Chapter 10Cost Estimation and Cost- Volume-Profit Relati.docx
Chapter 10Cost Estimation and Cost- Volume-Profit Relati.docxChapter 10Cost Estimation and Cost- Volume-Profit Relati.docx
Chapter 10Cost Estimation and Cost- Volume-Profit Relati.docx
 
Cpk guide 0211_tech1
Cpk guide 0211_tech1Cpk guide 0211_tech1
Cpk guide 0211_tech1
 
CFM Challenge - Course Project
CFM Challenge - Course ProjectCFM Challenge - Course Project
CFM Challenge - Course Project
 
Final SAS Day 2015 Poster
Final SAS Day 2015 PosterFinal SAS Day 2015 Poster
Final SAS Day 2015 Poster
 
COST NOTES LECTURE ALL COST CURVES NUMERICALS EXAMPLES THEORY
COST NOTES LECTURE ALL COST CURVES NUMERICALS EXAMPLES THEORY COST NOTES LECTURE ALL COST CURVES NUMERICALS EXAMPLES THEORY
COST NOTES LECTURE ALL COST CURVES NUMERICALS EXAMPLES THEORY
 
Cost-Behavior-1-3.pptx
Cost-Behavior-1-3.pptxCost-Behavior-1-3.pptx
Cost-Behavior-1-3.pptx
 
Econometrics_ch13.ppt
Econometrics_ch13.pptEconometrics_ch13.ppt
Econometrics_ch13.ppt
 
Reduction in customer complaints - Mortgage Industry
Reduction in customer complaints - Mortgage IndustryReduction in customer complaints - Mortgage Industry
Reduction in customer complaints - Mortgage Industry
 
1A p p e n d i x A APPENDIX AMODELING ANALYSIS WITH E.docx
1A p p e n d i x  A APPENDIX AMODELING ANALYSIS WITH E.docx1A p p e n d i x  A APPENDIX AMODELING ANALYSIS WITH E.docx
1A p p e n d i x A APPENDIX AMODELING ANALYSIS WITH E.docx
 
SPSSAssignment2_Report_BerkeleyCTeate
SPSSAssignment2_Report_BerkeleyCTeateSPSSAssignment2_Report_BerkeleyCTeate
SPSSAssignment2_Report_BerkeleyCTeate
 
MA909 report_RiskGlobalX
MA909 report_RiskGlobalXMA909 report_RiskGlobalX
MA909 report_RiskGlobalX
 
Cost, volume, profit Analysis. for decision making
Cost, volume, profit Analysis. for decision makingCost, volume, profit Analysis. for decision making
Cost, volume, profit Analysis. for decision making
 

More from christinemaritza

ENG315                                    Professional Scenari.docx
ENG315                                    Professional Scenari.docxENG315                                    Professional Scenari.docx
ENG315                                    Professional Scenari.docx
christinemaritza
 
ENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docx
ENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docxENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docx
ENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docx
christinemaritza
 
ENG 510 Final Project Milestone Three Guidelines and Rubric .docx
ENG 510 Final Project Milestone Three Guidelines and Rubric .docxENG 510 Final Project Milestone Three Guidelines and Rubric .docx
ENG 510 Final Project Milestone Three Guidelines and Rubric .docx
christinemaritza
 
ENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docx
ENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docxENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docx
ENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docx
christinemaritza
 
ENG 272-0Objective The purpose of this essay is t.docx
ENG 272-0Objective  The purpose of this essay is t.docxENG 272-0Objective  The purpose of this essay is t.docx
ENG 272-0Objective The purpose of this essay is t.docx
christinemaritza
 
ENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docx
ENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docxENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docx
ENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docx
christinemaritza
 
ENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docx
ENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docxENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docx
ENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docx
christinemaritza
 
ENG 3107 Writing for the Professions—Business & Social Scienc.docx
ENG 3107 Writing for the Professions—Business & Social Scienc.docxENG 3107 Writing for the Professions—Business & Social Scienc.docx
ENG 3107 Writing for the Professions—Business & Social Scienc.docx
christinemaritza
 
ENG 271Plato and Aristotlea Classical Greek philosophe.docx
ENG 271Plato and Aristotlea Classical Greek philosophe.docxENG 271Plato and Aristotlea Classical Greek philosophe.docx
ENG 271Plato and Aristotlea Classical Greek philosophe.docx
christinemaritza
 
ENG 315 Professional Communication Week 4 Discussion Deliver.docx
ENG 315 Professional Communication Week 4 Discussion Deliver.docxENG 315 Professional Communication Week 4 Discussion Deliver.docx
ENG 315 Professional Communication Week 4 Discussion Deliver.docx
christinemaritza
 
ENG 315 Professional Communication Week 9Professional Exp.docx
ENG 315 Professional Communication Week 9Professional Exp.docxENG 315 Professional Communication Week 9Professional Exp.docx
ENG 315 Professional Communication Week 9Professional Exp.docx
christinemaritza
 
ENG 202 Questions about Point of View in Ursula K. Le Guin’s .docx
ENG 202 Questions about Point of View in Ursula K. Le Guin’s .docxENG 202 Questions about Point of View in Ursula K. Le Guin’s .docx
ENG 202 Questions about Point of View in Ursula K. Le Guin’s .docx
christinemaritza
 
ENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docx
ENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docxENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docx
ENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docx
christinemaritza
 
ENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docx
ENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docxENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docx
ENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docx
christinemaritza
 
ENG 130 Literature and Comp ENG 130 Argumentative Resear.docx
ENG 130 Literature and Comp ENG 130 Argumentative Resear.docxENG 130 Literature and Comp ENG 130 Argumentative Resear.docx
ENG 130 Literature and Comp ENG 130 Argumentative Resear.docx
christinemaritza
 
ENG 130- Literature and Comp Literary Response for Setting.docx
ENG 130- Literature and Comp Literary Response for Setting.docxENG 130- Literature and Comp Literary Response for Setting.docx
ENG 130- Literature and Comp Literary Response for Setting.docx
christinemaritza
 
ENG 130 Literature and Comp Literary Response for Point o.docx
ENG 130 Literature and Comp Literary Response for Point o.docxENG 130 Literature and Comp Literary Response for Point o.docx
ENG 130 Literature and Comp Literary Response for Point o.docx
christinemaritza
 

More from christinemaritza (20)

ENG315                                    Professional Scenari.docx
ENG315                                    Professional Scenari.docxENG315                                    Professional Scenari.docx
ENG315                                    Professional Scenari.docx
 
ENG122 – Research Paper Peer Review InstructionsApply each of .docx
ENG122 – Research Paper Peer Review InstructionsApply each of .docxENG122 – Research Paper Peer Review InstructionsApply each of .docx
ENG122 – Research Paper Peer Review InstructionsApply each of .docx
 
ENG122 – Research Paper Peer Review InstructionsApply each of th.docx
ENG122 – Research Paper Peer Review InstructionsApply each of th.docxENG122 – Research Paper Peer Review InstructionsApply each of th.docx
ENG122 – Research Paper Peer Review InstructionsApply each of th.docx
 
ENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docx
ENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docxENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docx
ENG115ASSIGNMENT2STANCEESSAYDRAFTDueWeek.docx
 
ENG 510 Final Project Milestone Three Guidelines and Rubric .docx
ENG 510 Final Project Milestone Three Guidelines and Rubric .docxENG 510 Final Project Milestone Three Guidelines and Rubric .docx
ENG 510 Final Project Milestone Three Guidelines and Rubric .docx
 
ENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docx
ENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docxENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docx
ENG-105 Peer Review Worksheet Rhetorical Analysis of a Public.docx
 
ENG 272-0Objective The purpose of this essay is t.docx
ENG 272-0Objective  The purpose of this essay is t.docxENG 272-0Objective  The purpose of this essay is t.docx
ENG 272-0Objective The purpose of this essay is t.docx
 
ENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docx
ENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docxENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docx
ENG 360 01 American PoetrySpring 2019TuesdayFriday 800 –.docx
 
ENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docx
ENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docxENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docx
ENG 4034AHamlet Final AssessmentDUE DATE WEDNESDAY, 1220, 1.docx
 
ENG 3107 Writing for the Professions—Business & Social Scienc.docx
ENG 3107 Writing for the Professions—Business & Social Scienc.docxENG 3107 Writing for the Professions—Business & Social Scienc.docx
ENG 3107 Writing for the Professions—Business & Social Scienc.docx
 
ENG 271Plato and Aristotlea Classical Greek philosophe.docx
ENG 271Plato and Aristotlea Classical Greek philosophe.docxENG 271Plato and Aristotlea Classical Greek philosophe.docx
ENG 271Plato and Aristotlea Classical Greek philosophe.docx
 
ENG 315 Professional Communication Week 4 Discussion Deliver.docx
ENG 315 Professional Communication Week 4 Discussion Deliver.docxENG 315 Professional Communication Week 4 Discussion Deliver.docx
ENG 315 Professional Communication Week 4 Discussion Deliver.docx
 
ENG 315 Professional Communication Week 9Professional Exp.docx
ENG 315 Professional Communication Week 9Professional Exp.docxENG 315 Professional Communication Week 9Professional Exp.docx
ENG 315 Professional Communication Week 9Professional Exp.docx
 
ENG 202 Questions about Point of View in Ursula K. Le Guin’s .docx
ENG 202 Questions about Point of View in Ursula K. Le Guin’s .docxENG 202 Questions about Point of View in Ursula K. Le Guin’s .docx
ENG 202 Questions about Point of View in Ursula K. Le Guin’s .docx
 
ENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docx
ENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docxENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docx
ENG 220250 Lab Report Requirements Version 0.8 -- 0813201.docx
 
ENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docx
ENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docxENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docx
ENG 203 Short Article Response 2 Sample Answer (Worth 13 mark.docx
 
ENG 130 Literature and Comp ENG 130 Argumentative Resear.docx
ENG 130 Literature and Comp ENG 130 Argumentative Resear.docxENG 130 Literature and Comp ENG 130 Argumentative Resear.docx
ENG 130 Literature and Comp ENG 130 Argumentative Resear.docx
 
ENG 132What’s Wrong With HoldenHere’s What You Should Do, .docx
ENG 132What’s Wrong With HoldenHere’s What You Should Do, .docxENG 132What’s Wrong With HoldenHere’s What You Should Do, .docx
ENG 132What’s Wrong With HoldenHere’s What You Should Do, .docx
 
ENG 130- Literature and Comp Literary Response for Setting.docx
ENG 130- Literature and Comp Literary Response for Setting.docxENG 130- Literature and Comp Literary Response for Setting.docx
ENG 130- Literature and Comp Literary Response for Setting.docx
 
ENG 130 Literature and Comp Literary Response for Point o.docx
ENG 130 Literature and Comp Literary Response for Point o.docxENG 130 Literature and Comp Literary Response for Point o.docx
ENG 130 Literature and Comp Literary Response for Point o.docx
 

Recently uploaded

The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
EADTU
 

Recently uploaded (20)

Introduction to TechSoup’s Digital Marketing Services and Use Cases
Introduction to TechSoup’s Digital Marketing  Services and Use CasesIntroduction to TechSoup’s Digital Marketing  Services and Use Cases
Introduction to TechSoup’s Digital Marketing Services and Use Cases
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
What is 3 Way Matching Process in Odoo 17.pptx
What is 3 Way Matching Process in Odoo 17.pptxWhat is 3 Way Matching Process in Odoo 17.pptx
What is 3 Way Matching Process in Odoo 17.pptx
 
Model Attribute _rec_name in the Odoo 17
Model Attribute _rec_name in the Odoo 17Model Attribute _rec_name in the Odoo 17
Model Attribute _rec_name in the Odoo 17
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
 
Our Environment Class 10 Science Notes pdf
Our Environment Class 10 Science Notes pdfOur Environment Class 10 Science Notes pdf
Our Environment Class 10 Science Notes pdf
 
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdfUGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
Beyond_Borders_Understanding_Anime_and_Manga_Fandom_A_Comprehensive_Audience_...
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
How to Manage Call for Tendor in Odoo 17
How to Manage Call for Tendor in Odoo 17How to Manage Call for Tendor in Odoo 17
How to Manage Call for Tendor in Odoo 17
 
How to Add New Custom Addons Path in Odoo 17
How to Add New Custom Addons Path in Odoo 17How to Add New Custom Addons Path in Odoo 17
How to Add New Custom Addons Path in Odoo 17
 
Interdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptxInterdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptx
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptxOn_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
On_Translating_a_Tamil_Poem_by_A_K_Ramanujan.pptx
 
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptxCOMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
COMMUNICATING NEGATIVE NEWS - APPROACHES .pptx
 
dusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learningdusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learning
 
Wellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptxWellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptx
 

chapter 5Cost–Volume–Profit AnalysisLearning Objective.docx

  • 1. chapter 5 Cost–Volume–Profit Analysis Learning Objectives • Extend your knowledge of fixed and variable costs, and be able to perform cost behavior analysis. • Understand the contribution margin, contribution margin ratio, and how knowledge of these concepts can be used to calculate breakeven and other performance measures. • Know the critical assumptions of cost–volume–profit analysis. • Understand variable versus absorption costing. • Be able to calculate residual income. istockphoto waL80281_05_c05_113-140.indd 1 9/25/12 1:03 PM 114 CHAPTER 5Section 5.1 Mixed Costs
  • 2. Chapter Outline 5.1 Mixed Costs 5.2 Cost–Volume–Profit Analysis The Algebra of Break-Even and Targeted Income Analysis Influence of Taxes Changing Costs Changing Revenues Multiple Products 5.3 CVP Assumptions Direct Costing Comprehensive Income Statements Under Variable and Absorption Costing Fluctuating Inventory 5.4 Evaluating Residual Income You have previously learned about fixed and variable costs. Fixed costs are the same over the relevant range of expected production. Variable costs fluctuate in direct pro- portion to volume. You have seen how cost behavior influences measures of income, flex- ible budgeting, standard costing models, and so forth. Management must understand cost behavior to operate a successful business organization effectively. In this chapter, your knowledge of cost behavior will be extended to encompass techniques useful in studying a business’s break-even point and similar concepts. These techniques are com- monly referred to as cost–volume–profit analysis or just CVP. You will also apply your knowledge of cost behavior to understand alternative costing methods that are useful in
  • 3. managing business decisions. 5.1 Mixed Costs Before diving into CVP and alternative costing models, one must give consideration to the prospect of a mixed cost. Mixed costs entail a fixed component and a variable component. They are actually quite common. If you have ever committed to a cell phone contract, it is very possible that you have some hands-on experience with mixed costs. Your monthly cellular bill may include both fixed and variable amounts. Perhaps there is a fixed charge for basic monthly service and variable charges related to Internet access, texting, and so forth. Mixed costs change in response to fluctuations in volume, but not in a way that is immediately apparent. Before a manager can study the effects of volume fluctuation on a business, it is first necessary to develop a model that separates mixed costs into their fixed and variable components. Assume that Charlie’s Restaurant receives a monthly electric bill. Charlie’s electricity use fluctuates significantly each month. The cause of the fluctuation relates mostly to seasonal differences in utility consumption, based on heating and air- conditioning needs. Charlie’s provides data about its monthly electric bill in Table 5.1. waL80281_05_c05_113-140.indd 2 9/25/12 1:03 PM 115
  • 4. CHAPTER 5Section 5.1 Mixed Costs Table 5.1: Charlie’s electric bill data Total cost Kilowatts used January $1,950 15,000 February 1,750 13,000 March 1,650 12,000 April 1,350 9,000 May 1,450 10,000 June 1,750 13,000 July 2,150 17,000 August 2,050 16,000 September 1,850 14,000 October 1,350 9,000 November 1,550 11,000 December 1,750 13,000 At first glance, it may not be at all apparent how the total cost relates to the total usage. However, a graphical representation of this cost is quite revealing. Exhibit 5.1 is a chart with the total cost indicated along the vertical axis and the total
  • 5. usage along the horizontal axis. From this chart, you are able to see that fixed cost is the same, at $450, no matter the electricity consumed. Variable cost is rising at $0.10 per kilowatt hour. Exhibit 5.1 KILOWATTS USED TOTAL ELECTRICITY COST Variable cost area Fixed cost area 18,00016,00014,00012,00010,0008,0006,0004,0002,0000 $2,500 $2,000 $1,500 $1,000 $500 $0 waL80281_05_c05_113-140.indd 3 9/25/12 1:03 PM 116
  • 6. CHAPTER 5Section 5.1 Mixed Costs Perhaps you are able to “eyeball” the data in the table and make a determination of the fixed and variable portions in the electric bill. However, what if the data set is much larger and more cryptic? How can you estimate the fixed and variable amounts? This problem is frequently encountered because many expenses contain both fixed and variable compo- nents. A simple (and sometimes imprecise) approach is the high–low method. With this technique, the highest and lowest levels of activity are identified and the difference in cost is deemed to be representative of the variable portion. The variable portion is divided by the difference in activity/consumption between the high and low activity levels to find the variable cost per unit. The fixed cost can be calculated by subtracting variable cost from total cost. In Table 5.2 are calculations of the fixed and variable costs for Exhibit 5.1, determined by using the high–low method. Table 5.2: Fixed and variable costs for Charlie’s Restaurant Kilowatts Cost Highest level 17,000 $2,150 Lowest level 9,000 1,350 Difference 8,000 $800 Variable cost per unit $800/8,000 5 $0.10
  • 7. High Low Total cost $2,150 $1,350 Less: Variable cost (kilowatts 3 $0.10) 1,700 900 Fixed cost $450 $450 Certainly, the high–low method is not the only technique that can be used to estimate fixed and variable components. Also, if there are outlying data points (on the high or low end), the resulting estimates of fixed and variable components can be quite misleading. When data are not as linear as presented in the illustration, more precise tools are needed to separate costs into fixed and variable components. One such tool is regression analysis (also known as the method of least squares regression analysis), which defines a line that has a best fit to a set of data. The line is defined in terms of its intercept with the vertical axis and its slope. To better understand regression analy- sis, consider Exhibit 5.2 showing a line that intercepts the y axis at 2 and has a slope of 0.8. waL80281_05_c05_113-140.indd 4 9/25/12 1:03 PM 117
  • 8. CHAPTER 5Section 5.1 Mixed Costs Exhibit 5.2 In the diagram, note that the line is rising consistently upward to the right as it moves out along the x axis. The rate of rise is called the slope of the line, and it is occurring at the rate of 0.8 along the y axis for every 1 unit increase along the x axis. It is said that one picture is worth a thousand words, and the same can be true of some mathematical equations. You should be able to close your eyes and imagine the same line based on knowledge of its mathematical formula: Y 5 2 1 0.8X where a is the intercept on the y axis, b is the slope of the line, and X is the position on the x axis. This conventional mathematical formulation of a line can be translated to a discussion of fixed and variable costs in an accounting context. In other words, the formula can also be used to describe a mixed cost that consists of $2 of fixed cost and an additional variable component of $0.80 per unit. For example, if five units were produced, total costs would be $6 (see the circle in Exhibit 5.2), consisting of $2 fixed and $4 variable (5 units 3 $0.80). Given a large historical data set about a mixed cost over time, how can regression analysis be used to analyze the data and find the formula for the line that
  • 9. best passes through the data? In a precise context, regression provides a mathematical model that processes the data set to find a line where the cumulative sum of the squared distances between the points and the line is minimized (hence the name “least squares”). You might actually learn to do these calculations in an advanced statistics class. Fortunately, however, elec- tronic spreadsheets include built-in functions that do these calculations for you. Exhibit 5.3 is an example of a spreadsheet plotting hypothetical cost data against hypothetical production data for a series of years: 20 2 0 4 6 8 10 12 4 6 8 10 12 X Run = 10
  • 10. Rise = 8Y SLOPE = 0.8 waL80281_05_c05_113-140.indd 5 9/25/12 1:03 PM 118 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis Exhibit 5.3 In the spreadsheet, column C includes annual production data, whereas column D identi- fies total cost. The formula included in cell C16 (=INTERCEPT(D5:D13,C5:C13)) serves to calculate the intercept for the cost plotted against the volume. The indicated value of approximately $250,000 suggests fixed costs of approximately that level for each year. The slope reported in cell C17 (5SLOPE(D5:D13,C5:C13)) can be interpreted to mean that variable cost is $2.63 per unit of production. The accompanying graph shows the indi- vidual points and the resulting line defined by this formula: Y 5 $250,044 1 $2.63X This line resulting under regression analysis produces the best fit line, such that the verti- cal distance, squared, between each point and the resulting line is minimized. This line is deemed to be the best fit line, and it gives the best indication of
  • 11. the fixed and variable costs over time. A simple approach to regression is to simply “eyeball the points” and draw a line through them. You would then estimate the slope and intercept of this estimated line. This approach is not as precise as regression analysis, but it can get you in the right ball- park for a quick estimate. 5.2 Cost–Volume–Profit Analysis Agood manager must understand an organization’s variable and fixed cost components. That is why it is essential to perform analysis such as that just illustrated to discern the precise nature of a company’s cost behavior. Knowledge about the cost structure is essen- tial for cost–volume–profit (CVP) analysis. CVP is helpful in assessing the relationships between costs, business volume, and profitability. These relationships take into account variables pertaining to pricing, volume, variable and fixed costs, and product mix. $0 $600,000 $500,000 $400,000 $300,000 $200,000 $100,000
  • 12. 20,000 40,000 60,000 80,000 TOTAL COST 100,000 120,000 Year Production Total cost 20X1 20X2 20X3 20X4 20X5 20X6 20X7 20X8 20X9 100,000 90,000 75,000 110,000
  • 13. 70,000 105,000 95,000 60,000 85,000 $500,000 $480,000 $465,000 $550,000 $440,000 $535,000 $485,000 $399,500 $475,000 Intercept (spreadsheet cell C16) = 250044.335 Slope (spreadsheet cell C17) = 2.631773399 waL80281_05_c05_113-140.indd 6 9/25/12 1:03 PM Column C Column D
  • 14. 119 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis The goal of CVP is to provide a foundation for pricing decisions, product offerings, and management of an organization’s cost structure. In the following discussion, you will learn how to calculate a company’s break-even point as well as the volume level neces- sary to achieve a targeted amount of income. The core of CVP analysis is the contribution margin or revenues minus all variable expenses: Contribution Margin 5 Revenues 2 Variable Expenses Some of these variable costs are product costs and some relate to selling and administra- tive activities. The contribution margin should not be confused with gross profit (revenues minus cost of sales). Gross profit would be calculated after deducting all manufacturing costs associated with sold units, whether fixed or variable. Furthermore, gross profit is calculated before considering selling, general, and administrative costs. Thus, the contribu- tion margin and gross profit are two entirely different concepts. The contribution margin is a calculated value for internal analysis, but it is ordinarily not reported to parties external to the firm.
  • 15. Assume that Mustang Corporation manufactures and sells fishing boats. Each boat sells for $10,000, and variable manufacturing costs are $6,000 per boat. In addition, the boats are only sold through commissioned agents who receive $1,500 for each boat sold. Mus- tang’s per-unit contribution margin is $2,500 ($10,000 2 ($6,000 1 $1,500)). Mustang incurs $2,500,000 of fixed costs, no matter how many boats are produced and sold. The company must sell 1,000 units to break even, as shown in Table 5.3. Table 5.3: Breaking even Total Per boat Ratio Sales (1,000 3 $10,000) $10,000,000 $10,000 100% (or 1.00) Variable costs (1,000 3 $7,500) 7,500,000 7,500 75% (or 0.75) Contribution margin $ 2,500,000 $ 2,500 25% (or 0.25) Fixed costs 2,500,000 Net income $ 0 In reviewing Table 5.3, you likely noticed that the contribution margin can be reflected in the aggregate, on a per-unit basis, or on a ratio basis. The ratios may be expressed as percentages or fractional amounts (e.g., 50% or 0.50). These data were designed to reflect a break-even outcome of 1,000 units. In the following paragraphs, you will learn how to determine, in advance, the sales that are necessary to break
  • 16. even. Before looking at those formulations, let’s first consider what would happen to Mustang if sales were 1,500 units. Logic suggests that the company will be profitable. If 1,000 units are first needed to break even, then selling an additional 500 units should produce profits equivalent to the added contribution on those 500 units (500 3 $2,500 5 $1,250,000). The calculations in Table 5.4 prove this logic: waL80281_05_c05_113-140.indd 7 9/25/12 1:03 PM 120 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis Table 5.4: Logic of being profitable Total Per boat Ratio Sales (1,500 3 $10,000) $15,000,000 $10,000 100% (or 1.00) Variable costs (1,500 3 $7,500) 11,250,000 7,500 75% (or 0.75) Contribution margin $ 3,750,000 $ 2,500 25% (or 0.25) Fixed costs 2,500,000 Net income $ 1,250,000
  • 17. The changes in volume only impacted the total column in Table 5.4. Volume changes do not change the per-unit or ratio effects. This will be important to remember in the ensuing formulas that you will learn for break-even calculations. Break- even analysis can also be presented in a graphical manner as in Exhibit 5.4. Exhibit 5.4 A break-even chart, such as the one shown for Mustang, is intended to allow the user to observe the unit sales volume (as revealed along the horizontal axis in Exhibit 5.4) that is necessary for a company to break even. In other words, it is the point where the amount of sales in dollars equals the total cost in dollars. Total sales are portrayed by the line starting at zero and sloping upward at $10,000 per unit. In contrast, total costs start at $2,500,000 (the amount of fixed costs) and rise more slowly at $7,500 per unit (the amount of variable cost per unit). TOTAL UNITS CVP ANALYSIS Variable cost area Profit area Loss area Total cost line
  • 18. Break-even point Total sales line Fixed cost area 2,0001,5001,0005000 0 20,000,000 10,000,000 2,500,000 waL80281_05_c05_113-140.indd 8 9/25/12 1:03 PM 121 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis Some companies utilize graphs such as that shown in Exhibit 5.4 to keep an eye on their margin of safety. The margin of safety is simply the amount by which sales exceed the break-even sales level. If Mustang’s actual sales were $15,000,000, their margin of safety would be $5,000,000 ($15,000,000 2 $10,000,000 break-even sales). Operating leverage is a related CVP term that is often used. It refers to the amount of increase in income associ- ated with an increase in sales. This concept is based on the differences in slope between
  • 19. the total revenue line and the variable cost line; in essence, it reflects the contribution mar- gin rate. Some businesses refer to the process of evaluating margin of safety and operating leverage as tools in “sensitivity” or “scalability” analysis. Basically, it is perspective on how changes in volume impact changes in income. The Algebra of Break-Even and Targeted Income Analysis The preceding graphical representation can be converted to algebraic formulas. Consider the following relationships: Break-Even Sales 5 Total Variable Costs 1 Total Fixed Costs Mustang’s 10,000 units in sales to break even is confirmed via the following: (Units 3 $10,000) 5 (Units 3 $7,500) 1 $2,500,000 Solving: (Units 3 $10,000) 2 (Units 3 $7,500) 5 $2,500,000 (Units 3 $2,500) 5 $2,500,000 Units 5 1,000 The 1,000 units, at $10,000 each, translate into total sales of $10,000,000. The preceding relationships can be algebraically modified to formulate a calculation of breakeven by reference to the contribution margin ratio: Break-Even Sales = Total Fixed Costs / Contribution Margin
  • 20. Ratio $10,000,000 5 $2,500,000/0.25 Utilization of this ratio-based approach is helpful for multiproduct companies as long as all products have a consistent contribution margin. As yet another modification to the algebra, consider that total fixed costs can simply be divided by the contribution margin per unit: Break-Even Point in Units = Total Fixed Costs / Contribution Margin Per Unit 1,000 Units 5 $2,500,000/$2,500 waL80281_05_c05_113-140.indd 9 9/25/12 1:03 PM 122 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis Of course, businesses are not in business just to break even. They likely have targeted income levels and desire to know the amount of sales that will be needed to reach those goals. The determination of sales necessary to achieve a targeted amount of income is a very easy modification of the break-even calculations. All that is required is to treat the desired income in a manner similar to the amount of fixed costs that must be covered by the margin:
  • 21. Sales to Achieve Targeted Income 5 Total Variable Costs 1 Total Fixed Costs 1 Target Income If Mustang desired to earn $1,000,000 of income, the following calculations would be appropriate: (Units 3 $10,000) 5 (Units 3 $7,500) 1 $2,500,000 1 $1,000,000 Units 3 $2,500 5 $3,500,000 Units 5 1,400 If you want to know the dollar level of sales to achieve this targeted income, you could multiply the 1,400 units by the $10,000 selling price per unit, or $14,000,000 5 (Total Fixed Costs 1 Target Income) / Contribution Margin Ratio $14,000,000 5 $3,500,000/0.25 Influence of Taxes Taxes are a significant cost of doing business. Some taxes are fixed in amount, such as property taxes. They are easily factored into CVP by increasing the total fixed cost pool. However, taxes based on income present a slight complication to CVP. Income taxes are nonexistent up to the break-even point (i.e., you do not pay income taxes until you turn profitable) and then kick in based on a predetermined rate. The effect of an income tax
  • 22. essentially means that you have two different contribution margin rates—one based on sales minus variable expenses (without taxes) up to the break- even point and another based on sales minus variable expense and income taxes once the break-even point is exceeded. The preceding discussion points to the rather obvious need to modify the algebra associ- ated with profitability analysis. First, income taxes will not modify the break-even cal- culations. However, sales necessary to achieve target income level calculations must be amended. One simple way to perform this analysis is in two stages. The first stage is to calculate the break-even point. The second stage is to calculate the additional sales needed to reach the target income. In the second stage, it is important to remember that fixed costs have already been covered at the break-even point, but the contribution margin is reduced because of the income taxes. To illustrate, assume the Go for Gold Mining faces the following facts: Fixed costs $2,000,000 waL80281_05_c05_113-140.indd 10 9/25/12 1:03 PM 123 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis
  • 23. Variable mining costs $ 750 per ounce Income tax rate 50% If gold is selling for $1,500 per ounce (giving rise to a pretax contribution margin of 50%), and Go for Gold desires to reach an after-tax income level of $1,000,000, how much gold must be sold? The first step is to calculate break-even sales: $2,000,000 (fixed costs)/0.50 contribution margin ratio 5 $4,000,000 in sales The second step is to calculate the additional sales to earn a $1,000,000 profit: $1,000,000 (target income)/0.25 revised contribution margin ratio 5 $4,000,000 in sales. Note: 50% contribution plus 50% tax on that same 50% gives us 75% in contribution margin plus taxes. Combining the sales to reach breakeven plus the additional sales to reach the target income level reveals that Go for Gold must sell $8,000,000 to achieve the desired income level. You likely noticed that the contribution margin in the second step was only 25% instead of 50%. The reason is that any profits had to be shared 50:50 with the government (given the assumed 50% income tax rate). This means that the company’s contribution was reduced in half for all sales above the break-even point!
  • 24. Changing Costs Costs can naturally be expected to shift over time. These changes will impact the struc- tural relationships between fixed and variable components. Management must be able to contemplate how cost shifts will impact the business. For instance, an increase in fixed costs, without a change in per-unit variable costs and revenues, will obviously increase the break-even point. The proper analysis for an increase in fixed cost requires that the new total fixed cost be divided by the contribution margin. Suppose Mustang’s total fixed costs increased from $2,500,000 to $3,000,000. What sales level is now necessary to break even? Recall that the break-even point in sales can be derived by dividing total fixed costs by the contribution margin ratio. Thus, the new calculation of breakeven is as follows: $12,000,000 5 $3,000,000/0.25 The $500,000 additional fixed cost requires an additional $2,000,000 in sales. As you can see, the revisions in fixed costs are relatively simple to incorporate into the break-even framework with which you are already familiar. However, what about changes in variable costs? What if a new environmental regulation required that an additional $500 be spent on each boat to use a safer fiberglass handling process? Now, the contribution margin is only $2,000 per unit ($10,000 2 ($7,500 1 $500)). Assuming the added cost cannot be passed
  • 25. through, how will this impact the break-even point? The revised break-even point (let’s assume fixed costs are still $2,500,000 for this illustration) is now calculated as follows: $12,500,000 5 $2,500,000/0.20 waL80281_05_c05_113-140.indd 11 9/25/12 1:03 PM 124 CHAPTER 5Section 5.2 Cost–Volume–Profit Analysis Of course, a business sometimes must choose between adding either a fixed or a vari- able cost. Suppose the per-unit increase in variable cost associated with a safer fiberglass handling process could be avoided by instead incurring a $500,000 increase in fixed cost. If you review the two preceding examples, you can see that breakeven is lower with the added fixed cost, and you might jump to the conclusion that it would be the preferred option. However, if the business’s sales fail to reach even the break-even level, there is a point at which the added fixed cost would become disadvantageous. For example, if sales reached only $8,000,000, Table 5.5 reveals that the loss is less for the case in which the increased fixed cost was avoided. Table 5.5: Loss is less With increased fixed cost Without increased fixed cost
  • 26. Sales $8,000,000 $8,000,000 Less: Fixed costs ($3,000,000) ($2,500,000) Less: Variable costs (800 , $7,500) ($6,000,000) Less: Variable costs (800 , $8,000) ($ 6,400,000) Net loss ($1,000,000) ($ 900,000) Changing Revenues Changes in per-unit revenue, without changes in total fixed costs or per-unit variable cost, can sometimes cause dramatic impacts on firm profits. This is especially true for busi- nesses with a low variable cost structure. Consider the example in Table 5.6, in which firm profits are calculated before and after a $10 per-unit increase in selling price. Table 5.6: Calculating profits Before price increase After price increase Sales (5,000 units) $500,000 $550,000 Variable costs ($40 per unit) 200,000 200,000
  • 27. Contribution margin $300,000 $350,000 Fixed costs 275,000 275,000 Net income $25,000 $75,000 Notice that the $10 (10%) increase in selling price caused a tripling of profits from $25,000 to $75,000. This simple illustration shows the importance of small adjustments in selling prices. Of course, markets are at times very sensitive to pricing. Customers may not be willing to pay the added $10, which can cause a reduction in per-unit sales. Management must be very careful in setting its pricing policies. waL80281_05_c05_113-140.indd 12 9/25/12 1:03 PM 125 CHAPTER 5Section 5.3 CVP Assumptions Multiple Products Most businesses offer more than one product. Each product may have a different selling price, contribution margin, and contribution margin ratio. This has the potential to com- plicate CVP analysis. Now, knowledge is also required about the proportion of total sales attributable to each product. To illustrate, assume that Infusion Technology sells hospital medication pumps and dis-
  • 28. posable cassettes that hold various medications. The pumps sell for $5,000 and have vari- able costs of $4,000. The contribution margin is therefore $1,000 per pump. The cassettes sell for $20 and have variable costs of $10, giving rise to a $10 per-unit contribution mar- gin. Infusion Technology sells 1,000 cassettes for each pump sold. How many pumps and cassettes must be sold to cover the business’s $1,100,000 of total fixed costs? Consider that a product “unit” typically consists of one pump and 1,000 cassettes. Thus, the “unit” would have a contribution margin of $11,000, as shown in Table 5.7. Table 5.7: Contribution margin Contribution margin Pump 1 item at $1,000 Cassette 1,000 items at $10 5 $10,000 “Unit contribution” $11,000 To recover $1,100,000 of fixed cost requires sales of 100 “units” ($1,100,000/$11,000). This is equivalent to selling 100 pumps and 100,000 cassettes. Total break-even sales equal $2,500,000 (($5,000 3 100 pumps) 1 ($20 3 100,000 cassettes)). This break-even sales level would shift dramatically if the product mix is not as projected. Pumps have a much lower contribution margin than cassettes, and increasing their sales (without a corresponding increase in the high-margin cassettes) would cause a dramatic
  • 29. shift in the break-even level of sales. 5.3 CVP Assumptions The CVP techniques illustrated in this chapter are simply models of cost behavior. Financial models are typically based on various assumptions. Violating an assump- tion can cause a model to produce misleading results. Therefore, it is very important for you to consider the assumptions of CVP in Table 5.8. waL80281_05_c05_113-140.indd 13 9/25/12 1:03 PM 126 CHAPTER 5Section 5.3 CVP Assumptions Table 5.8: Assumptions of CVP Inventory levels Constant, with the number of units sold equaling the number of units produced. Fluctuations in inventory would result in a portion of the variable and fixedcostsbeing transferred in and out of inventory rather than income. Identification of costs Costs can be clearly and reliably identified as fixedand variable in nature. Preservation of linearity Variable costsare constant per unit, and total fixedcostsare stable and
  • 30. constant over the relevant range of activity. Revenues are constant per unit. Product mix ratios meet expectations Revenues are constant per unit, and multiple-product firms meet the expected product mix ratios. Direct Costing Now that you have examined the contribution margin and how it can be useful in corpo- rate analysis, it is time to expand upon the concept to see how it dovetails with report- ing. Two general models can be used to measure and report income for a manufacturer. One is absorption (or full) costing. It is the model with which you are currently familiar, and it is required for external reporting purposes. There is an alternative model, accept- able only for internal use, called direct (or variable) costing. Each has its advantages and disadvantages. Absorption costing provided the basis for prior chapter illustrations. Under this tech- nique, all manufacturing costs are deemed to be product costs and are therefore included in inventory. When sold, the full cost of inventory is transferred to cost of goods sold. The result is that gross profit is reduced by all costs of manufacturing, including direct mate- rials, direct labor, and variable and fixed manufacturing
  • 31. overhead. Also recall that sell- ing, general, and administrative costs (SG&A) are classified as period expenses, whether fixed or variable in nature. Generally accepted accounting principles (GAAP) require this approach based on the premise that inventory should be measured and reported at its complete cost. There is obvious merit to this conclusion. A product could likely not be produced without a certain amount of fixed manufacturing overhead, and it seems inap- propriate to exclude such costs as one attempts to report on their manufacturing profits. Variable (direct) costing only assigns variable product costs to inventory and cost of goods sold. Thus, product costs are deemed to include direct materials, direct labor, and variable manufacturing overhead. The fixed manufacturing overhead is regarded as a period cost. Table 5.9 highlights the difference in perspective between absorption and variable costing. waL80281_05_c05_113-140.indd 14 9/25/12 1:03 PM 127 CHAPTER 5Section 5.3 CVP Assumptions Table 5.9: Absorption versus variable costing Absorption costing Variable costing
  • 32. Product cost Period cost Product cost Period cost Direct material ✔ ✔ Direct labor ✔ ✔ Variable manufacturing overhead ✔ ✔ Fixed manufacturing overhead ✔ ✔ Variable SG&A ✔ ✔ Fixed SG&A ✔ ✔ In light of GAAP’s requirement for absorption costing, and the associated arguments in support of this view, why might a company opt for variable costing for internal use? Regardless of the claims in support of absorption costing, it does suffer from some limita- tions that can impede appropriate management decisions. Absorption costing does not necessarily provide the best signals about product pricing, whether to continue to produce a product, whether to accept a special order, and similar decisions. With variable costing, fixed manufacturing costs are shifted from product costs to period costs because they will be incurred no matter the level of production. Simply stated, in many cases, a company should continue to produce a product that has a positive contribution margin, even if the overall results still appear to be producing a loss; the loss would be larger if the fixed costs were incurred and nothing was produced. Absorption costing does not illuminate this
  • 33. reality in a way that enables good decisions. Numerous similar situations can arise. This is a very important concept and bears much deeper analysis via a series of examples. Assume that Home Pride produces 500,000 loaves of bread per month, and per-unit costs are $0.45 for direct material, $0.30 for direct labor, and $0.25 for variable factory over- head. Total fixed factory overhead amounts to $250,000. Under absorption costing, a loaf of bread costs $1.50 to produce. This consists of variable costs ($0.45 1 $0.30 1 $0.25 5 $1) and fixed costs ($250,000/500,000 loaves 5 $0.50). Under variable costing, the prod- uct cost includes just the $1.00 of variable manufacturing components. If Home Pride is approached by Super Grocery to produce a private-label bread product, and Super Gro- cery is willing to pay $1.25 per loaf, should Home Pride accept the deal? Home Pride has evaluated the transaction and concluded that it will not result in any added variable or fixed SG&A costs, and it will not cause a reduction in sales of its own bread products. With absorption costing, it appears that the offer should be rejected. Why sell something for $1.25 when it costs $1.50 to produce? This seems obviously irrational. Conversely, vari- able costing suggests that a profit of $0.25 per loaf will result by accepting Super Grocery’s offer. Which decision is right? Management may well decide to accept the offer to enhance profits. It is important to recall that no other costs will be incurred. Reliance on absorption costing for decision making could have resulted in this
  • 34. opportunity having been missed. Very likely, you are now beginning to understand why some companies prefer a variable costing structure for internal measurement and decision-making purposes. waL80281_05_c05_113-140.indd 15 9/25/12 1:03 PM 128 CHAPTER 5Section 5.3 CVP Assumptions Comprehensive Income Statements Under Variable and Absorption Costing The preceding discussion focused on the general structure of income measurement under absorption and variable costing. The Home Pride example further assumed that SG&A was unaffected by the decision to sell to Super Grocery. That assumption would often not be valid. Variable SG&A typically increases along with rising sales, and this factor will be reflected in a variable costing income statement. Consider the following income statements for Garcia Company. Garcia does not maintain inventory, and it sells all that is produced each period. As a result, total income is the same, whether measured under absorption or variable costing. The difference, therefore, is only in how the data are pre- sented. Absorption costing will focus on an intermediate subtotal relating to gross profit. This is a different focus than with variable costing, in which the
  • 35. emphasis is on contribu- tion margins. Begin by closely examining the absorption costing income statement shown in Exhibit 5.5, and then review the additional commentary that follows. Exhibit 5.5 Under absorption costing, assume the $500,000 cost of goods sold consists of direct mate- rials ($150,000), direct labor ($200,000), and variable ($50,000) and fixed manufacturing overhead ($100,000). Gross profit is reduced by SG&A, which is assumed to be $125,000 variable and $75,000 fixed. When these same factors are rearranged and presented as in a variable costing income statement format, you will first notice that all variable costs are subtracted from sales to arrive at the contribution margin. Garcia Company further divides the contribution margin between the manufacturing margin and the overall mar- gin, after subtracting variable SG&A (Exhibit 5.6). Sales Cost of goods sold Gross profit Less: Variable SG&A Fixed SG&A Net income
  • 36. $ 125,000 75,000 $1,000,000 500,000 $ 500,000 200,000 $ 300,000 GARCIA COMPANY Absorption Costing Income Statement For the Year Ending December 31, 20XX waL80281_05_c05_113-140.indd 16 9/25/12 1:03 PM 129 CHAPTER 5Section 5.3 CVP Assumptions Exhibit 5.6 Fluctuating Inventory You may be wondering what happens if inventory levels fluctuate. With absorption cost- ing, inventory will carry all manufacturing costs, whereas only variable manufacturing costs are assigned to inventory with variable costing. Generalizing, therefore, inventory is
  • 37. measured at a higher value with absorption costing; in other words, certain costs (a por- tion of the fixed manufacturing overhead) are placed in inventory that would otherwise be expensed immediately under variable costing. This means that income is higher with absorption costing in those periods during which inventory levels are increasing. Let’s revisit Garcia Company, this time assuming that sales are 10% less, and the unsold units become part of ending inventory. The income statements (Exhibits 5.7 and 5.8) show how income is higher under absorption costing by $10,000. This is exactly as expected. In other words, 10% of the $100,000 of fixed manufacturing overhead is assigned to inventory under absorption costing versus what is expensed under variable costing. Sales Less: Variable product costs Manufacturing margin Less: Variable SG&A Contribution margin Less: Fixed factory cost Fixed SG&A Net income $ 100,000
  • 38. 75,000 $1,000,000 400,000 $ 600,000 125,000 $ 475,000 175,000 $ 300,000 GARCIA COMPANY Variable Costing Income Statement For the Year Ending December 31, 20XX waL80281_05_c05_113-140.indd 17 9/25/12 1:03 PM 130 CHAPTER 5Section 5.4 Evaluating Residual Income Exhibit 5.7 Exhibit 5.8 5.4 Evaluating Residual Income
  • 39. Comparing income measures under absorption and variable costing provides helpful clues to guide correct managerial decisions. However, these measures are not a pana- cea for management. Additional economic facets must be considered. For instance, neither measure adjusts income for the embedded amount of capital that must be deployed to gen- erate the reported income numbers. In other words, the level of stockholder investments is not factored into the basic income calculations. If two businesses each generate income of $1,000,000 but one of the businesses has stockholder investments of $5,000,000 and the other has stockholder investments of $10,000,000, it is apparent that the former business Sales Less: Variable product costs Manufacturing margin Less: Variable SG&A Contribution margin Less: Fixed factory cost Fixed SG&A Net income $ 100,000 75,000
  • 40. $ 900,000 360,000 $ 540,000 112,500 $ 427,500 175,000 $ 252,500 GARCIA COMPANY Variable Costing Income Statement For the Year Ending December 31, 20XX Sales Cost of goods sold Gross profit Less: Variable SG&A Fixed SG&A Net income $ 112,500 75,000 $ 900,000
  • 41. 450,000 $ 450,000 187,500 $ 262,500 GARCIA COMPANY Absorption Costing Income Statement For the Year Ending December 31, 20XX waL80281_05_c05_113-140.indd 18 9/25/12 1:03 PM 131 CHAPTER 5Section 5.4 Evaluating Residual Income is generating a better rate of return on the amount of invested capital. Thus, not only is it important that a business have profitable operations to maintain long-run economic viabil- ity but also it must generate returns that are sufficient to justify the investment. In a later chapter, you will study many capital budgeting tools that aid in these evaluations. However, you are already in a position to consider the concept of residual income. Like vari- able costing, residual income is not a GAAP-based measure. Instead, it is another internal financial assessment technique. Residual income provides a scale of business success or fail-
  • 42. ure after adjusting for the presumed cost of capital. The cost of capital is the theoretical rate that funds could earn if invested in alternative use. The cost of capital varies by firm and is based on general economic conditions. Although there are variations in the way in which residual income could be measured, one general approach is based on this formulation: Residual Income 5 Operating Income 2 (Operating Assets 3 Cost of Capital) To see how residual income can be used for business assessments, begin by looking at the data for two separate business segments in Table 5.10. Table 5.10: Data for two business segments Segment A Segment B Operating income $ 250,000 $500,000 Less: Cost of capital Segment A capital $3,000,000 3 5% cost of capital (150,000) Segment B capital $9,000,000 3 5% cost of capital (450,000) Residual income $ 100,000 $ 50,000 At first glance, it appears that Segment B is more successful because its operating income is twice that of Segment A. However, Segment B has much more capital invested in opera- tions ($9,000,000 for B vs. $3,000,000 for A). Assuming a 5% cost of capital, Segment A’s
  • 43. residual income is twice that of Segment B. This information casts the relative success of the two divisions in a completely different light. Thus, residual income can be a powerful tool for identifying and ranking the performance of segments, products, and other com- ponents of business activity. As with most analysis techniques, great care must be taken in interpreting residual income. Conclusions can be impacted by the assumption about the cost of capital and different rank- ings achieved by revisions in interest rates. In addition, management needs to understand the accounting principles that were used to measure operating income. For example, a unit may be spending heavily on developmental costs. Were these costs expensed? If so, then near-term income could be negatively impacted. In the long term, those same costs (having already been expensed) would be excluded from the calculation of invested capital and per- haps inflate the residual income in the latter stages of a project. Thus, management needs to be very careful in interpreting residual income. Nevertheless, when used appropriately, the technique is highly valuable in helping a business identify and rank products, segments, and business activities. It is crucial that business decisions about which products and ser- vices to offer, or cease to offer, be made with deliberate care and attention to detail. waL80281_05_c05_113-140.indd 19 9/25/12 1:03 PM
  • 44. 132 CHAPTER 5Concept Check Concept Check The five questions that follow relate to several issues raised in the chapter. Test your knowledge of the issues by selecting the best answer. (The correct answers can be found at the end of your text.) 1. Variable costs (from the accountant’s viewpoint) a. are graphed by means of a curvilinear line. b. remain constant in total through the relevant range. c. are constant on a per-unit basis through the relevant range. d. are commonly divided into committed and discretionary classifications. 2. The high–low method of analyzing cost behavior a. can be used to determine the variable and fixed components of a mixed cost function. b. uses the same number of data observations as a scattergraph. c. relies on the following computation to figure the variable cost per unit (or hour): Change in activity between the high and low points / change in cost between the high and low points. d. results in different amounts of fixed cost at the high and low data points.
  • 45. 3. Foster Company has sales of $800,000, variable costs that total 60% of sales, and fixed costs of $180,000. The firm’s break-even point is a. $140,000. b. $300,000. c. $450,000. d. $560,000. 4. The contribution margin a. is the amount that each unit contributes toward covering variable costs and producing income. b. is the result of subtracting both the variable and fixed costs per unit from the selling price. c. may, in select cases, be less than net income. d. is the difference between a unit’s selling price and variable cost and, when divided into fixed costs, will produce the unit sales required to break even. 5. The cost–volume–profit model a. can be used only by single-product companies. b. assumes that the sales mix will remain as predicted. c. assumes that technology, efficiency, and costs can change. d. cannot be used to study operating changes of the firm. waL80281_05_c05_113-140.indd 20 9/25/12 1:03 PM
  • 46. 133 CHAPTER 5Critical Thinking Questions Critical Thinking Questions 1. Define the break-even point. 2. Define the contribution margin. What does the contribution margin represent, and how is it used in finding the break-even point? 3. Product A has a negative contribution margin. Explain how a negative contribution margin can arise, and determine whether product A should continue to be sold. 4. Discuss the benefits associated with using a break-even chart. 5. Determine the effect, if any, on the break-even point that each of the following events would have: a. An increase in sales price b. A decrease in fixed cost c. An increase in the number of units sold 6. Will a change in a company’s sales mix likely affect the break-even point? Briefly explain. 7. What are the limiting assumptions of CVP analysis? absorption costing A technique by which all manufacturing costs are deemed to be product costs and are therefore included in inventory.
  • 47. break-even chart Used to allow the user to observe the unit sales volume that is necessary for a company to break even. contribution margin At the core of a CVP analysis, and it represents revenues minus all variable expenses. cost–volume–profit (CVP) analysis The process of providing a foundation for pricing decisions, product offerings, and management of an organization’s cost structure. high–low method A method of identify- ing the highest and lowest levels of activity and where the difference in cost is deemed to be representative of the variable portion. margin of safety The amount by which sales exceed the break-even sales level. mixed costs A type of cost that entails a fixed component and a variable component. operating leverage Refers to the amount of increase in income associated with an increase in sales, based on the differences in slope between the total revenue line and the variable cost line. residual income An internal financial assessment technique that provides a scale of business success or failure after adjust- ing for the presumed cost of capital.
  • 48. targeted income A measuring point for a company to pinpoint the amount of sales that will be required to reach financial goals. variable (direct) costing A method in which variable product costs are assigned to inventory and cost of goods sold. Prod- uct costs are deemed to include direct materials, direct labor, and variable manu- facturing overhead. Key Terms waL80281_05_c05_113-140.indd 21 9/25/12 1:03 PM 134 CHAPTER 5Exercises Exercises 1. High–low method The following cost data pertain to 20X6 operations of Heritage Products: Quarter 1 Quarter 2 Quarter 3 Quarter 4 Shipping costs $58,200 $58,620 $60,125 $59,400 Orders shipped 120 140 175 150 The company uses the high–low method to analyze costs.
  • 49. a. Determine the variable cost per order shipped. b. Determine the fixed shipping costs per quarter. c. If present cost behavior patterns continue, determine total shipping costs for 20X7 if activity amounts to 570 orders. 2. Break-even and other CVP relationships Delta Gamma Upsilon sorority is in the process of planning its annual homecoming dinner and dance. The treasurer anticipates the following costs for the event, which will be held at the Regency Hotel: Room rental $300 Dinner cost (per person) 25 Chartered buses 500 Favors and souvenirs (per person) 5 Band 900 Each person would pay $40 to attend; 200 attendees are expected. a. Will the event be profitable for the sorority? Show computations. b. How many people must attend for the sorority to break even? c. Suppose the sorority encouraged its members to drive to the hotel and did not charter the buses. Furthermore, a planned menu change will
  • 50. reduce the cost per meal by $2. If each member will still be charged $40, compute the contribution margin per person. 3. Break-even and other CVP relationships Cedars Hospital has average revenue of $180 per patient day. Variable costs are $45 per patient day; fixed costs total $4,320,000 per year. a. How many patient days does the hospital need to break even? b. What level of revenue is needed to earn a target income of $540,000? c. If variable costs drop to $36 per patient day, what increase in fixed costs can be tolerated without changing the break-even point as determined in part (a)? waL80281_05_c05_113-140.indd 22 9/25/12 1:03 PM 135 CHAPTER 5Exercises 4. CVP relationships: Working backward Determine the missing amounts in each of the independent cases that follow: Case Units sold Sales Variable
  • 51. costs Contribution margin per unit Fixed costs Net income A ? $70,000 $ ? $6 $14,000 $10,000 B 7,000 ? 42,000 5 ? 8,000 C 4,000 53,000 ? ? 21,000 (2,000) D 8,000 92,000 40,000 ? 24,000 ? 5. Direct and absorption inventory costing Milsap Industries began business on January 1 of the current year, manufacturing and selling a single product. Consider the data that follow: Units Variable cost per unit Fixed costs Production volume 80,000 Sales volume 72,000 Direct materials $1.30 Direct labor 2.80 Factory overhead 4.40 $540,000
  • 52. Selling expenses 0.20 180,000 a. Compute the cost of the company’s ending inventory by using direct costing. b. Compute the cost of the company’s ending inventory by using absorption costing. c. Suppose that Milsap’s accountant had accidentally excluded straight-line depre- ciation on machinery from the data presented. Determine the effect of this error (overstate, understate, or no impact) on the company’s 1) direct costing ending inventory. 2) absorption costing ending inventory. 6. Direct and absorption income computations Crawford Company began operations on January 1 of the current year. The follow- ing information has been gathered from the accounting records: Variable costs per unit Manufacturing: $12.50 Selling & administrative: $1.10 Fixed costs Manufacturing: $120,000 Selling & administrative: $60,000 waL80281_05_c05_113-140.indd 23 9/25/12 1:03 PM 136 CHAPTER 5Problems
  • 53. Production and sales amounted to 80,000 units and 75,000 units, respectively. The selling price is $17. a. Compute net income for the year just ended by using the direct costing method. b. Compute net income for the year just ended by using the absorption costing method. Problems 1. Cost behavior and analysis The chief accountant of Stevenson Corporation is studying certain costs (direct labor, plant security, utilities, and maintenance) in an effort to better control opera- tions. Normal production activity ranges from 7,500 to 8,000 units per month. In the past 3 months, the following cost behavior has been observed: Month 1 Month 2 Month 3 Production (units) 7,540 7,950 7,680 Direct labor $18,850 $19,875 $19,200 Plant security 14,600 14,600 14,600 Utilities 28,044 29,520 28,548 In addition, maintenance costs have displayed the following step behavior:
  • 54. Activity range (units) Cost Up to 7,600 $ 8,000 7,601–7,800 9,500 7,801–8,000 11,000 Stevenson uses the high–low method to analyze cost behavior. Instructions a. Production for next month is expected to total 7,850 units. Calculate the cost of direct labor, plant security, utilities, and maintenance for this level of activity. b. Comment on the cost-effectiveness of producing at a 7,850- unit level of activity with respect to maintenance costs. If you believe this is an ineffective production level, describe how effectiveness could be improved. c. There is a high probability that Stevenson’s production volume will nearly double in forthcoming months because of a new customer. Can the data and methods used in part (a) for predicting the cost of 7,850 units be employed to estimate total costs for, say, 17,500 units? Why? waL80281_05_c05_113-140.indd 24 9/25/12 1:03 PM
  • 55. 137 CHAPTER 5Problems 2. Break-even and other CVP analysis Hodge and Best manufactures a single product. The information that follows relates to current operations: Sales (80,000 units , $15) $1,200,000 Less: Variable cost $720,000 Fixed cost 360,000 1,080,000 Net income $ 120,000 Instructions a. The sales outlook for next year is bleak. Calculate the number of units that must be sold to break even if current revenue and cost behavior patterns continue. b. If Hodge and Best wishes to earn a target income of $90,000 during the next accounting period, what level of dollar sales must be generated? c. Management is studying an increase in the selling price to $18 per unit. If con- sumers balk and volume drops, calculate the number of units that must be sold to earn the target income of $90,000. Should the change be implemented? Why? d. Hodge and Best’s projected break-even point and target
  • 56. income are the result of interactions of numerous financial events and transactions. Determine the impact of the following operating changes by filling in the blanks below with “increase,” “decrease,” or “not affect.” 1) An increase in direct labor cost will _______________________ total variable costs, _______________________ the contribution margin, and _______________________ the break-even point. 2) An increase in plant insurance will _______________________ the break-even point and _______________________ the dollar sales level calculated in part (b). 3. Straightforward CVP analysis FRB Inc. sells a single product for $40. The following costs and expenses were incurred at store No. 504: Variable costs per unit Annual fixed costs Invoice cost $24 Salaries $60,000 Sales commission 4 Advertising 14,000 Other 16,000 The company sold 8,200 units during 20X4. Instructions a. Compute the 20X4 break-even point in both dollar and unit sales.
  • 57. b. By how much will sales have to increase in 20X5 over 20X4 levels if management wishes to earn a target income of $14,400? waL80281_05_c05_113-140.indd 25 9/25/12 1:03 PM 138 CHAPTER 5Problems c. At present, how much does each unit provide toward covering FRB’s fixed costs and generating income? Assume that management believes this amount is too low. What alternatives are available to FRB? d. What would be the effect on the break-even point if management reduced salary costs by $11,600 and increased the $4 sales commission by 20%? 4. Break-even and other CVP analysis Quebec Inc. manufactures and sells a single product. The information that follows relates to the year just ended, when 230,000 units were sold: Sales price per unit $ 10 Variable cost per unit 4 Fixed costs 930,000 Instructions
  • 58. a. Determine the number of units that Quebec sold in excess of its break-even point. b. If current revenue and cost patterns continue, compute the dollar sales needed next year to produce a target income of $492,000. c. Assume that a different compensation plan was in effect during the current year. Rather than pay six salespeople an average salary of $36,000 each, management has proposed that the salespeople receive a $10,000 base salary and a 6% commis- sion based on gross sales. 1) Would the company have been better off financially if the new plan had been adopted for the year just ended? By how much? 2) What effect might paying a commission have on gross sales? Briefly explain. d. In addition to the compensation plan described in part (c), Quebec is studying the impact of other operating changes as well. State whether you agree or dis- agree with the following findings of a newly hired staff accountant: 1) A rise in property taxes will increase the break-even point. 2) A decrease in raw material cost will increase the contribution margin and decrease total fixed costs. 5. Direct and absorption costing
  • 59. The following information pertains to Turbo Enterprises for the year ended December 31, 20X8: Variable cost per unit: Direct materials $ 6 Direct labor 4 Factory overhead 9 Selling & administrative expense 3 Total $ 22 waL80281_05_c05_113-140.indd 26 9/25/12 1:03 PM 139 CHAPTER 5Problems Annual fixed costs: Factory overhead $600,000 Selling &. administrative expense 115,000 Total $715,000 Other data (units): Sales 21,000
  • 60. Production 25,000 Inventory, 12/31/X8 11,000 The unit selling price is $62. Assume that costs have been stable in recent years. Instructions a. Compute the number of units in the beginning inventory on January 1, 20X8. b. Calculate the cost of the December 31 inventory assuming use of 1) direct costing. 2) absorption costing. c. Prepare an income statement for the year ended December 31, 20X8, by using direct costing. d. Prepare an income statement for the year ended December 31, 20X8, by using absorption costing. 6. Direct and absorption costing The information that follows pertains to Consumer Products for the year ended December 31, 20X6: Inventory, 1/1/X6 24,000 units Units manufactured 80,000 Units sold 82,000 Inventory, 12/31/X6 ? units
  • 61. Manufacturing costs: Direct materials $3 per unit Direct labor $5 per unit Variable factory overhead $9 per unit Fixed factory overhead $280,000 Selling & administrative expenses: Variable $2 per unit Fixed $136,000 waL80281_05_c05_113-140.indd 27 9/25/12 1:03 PM 140 CHAPTER 5Problems The unit selling price is $26. Assume that costs have been stable in recent years. Instructions a. Compute the number of units in the ending inventory. b. Calculate the cost of a unit assuming use of 1) direct costing. 2) absorption costing. c. Prepare an income statement for the year ended December
  • 62. 31, 20X6, by using direct costing. d. Prepare an income statement for the year ended December 31, 20X6, by using absorption costing. waL80281_05_c05_113-140.indd 28 9/25/12 1:03 PM NUR 3870 Informatics in Health Care Group Informatics Presentations Directions: - determine Team Leader (see responsibilities below); determine assignments based on rubric; determine due dates, etc. o As a Group, complete a literature review, then create a PowerPoint presentation to be shared o Be creative! rubric on the following
  • 63. pages as your guide! Additional Responsibilities of the Team Leader: - Review areas: o Finished presentation file as a ppt type of file o A summary page in Word doc o The reference list in Word doc NUR 3870 Informatics in Health Care Group Informatics Presentations Please Review these Guidelines for Success! Title Slide & authors (all active Group members) Abstract citations here -5 keywords)
  • 64. Objectives able to: o At least 3 [these need to be clear, concise, and measurable] Content: Introduction of the Topic o Background information on topic o Define any key terms o Provide specific information on concepts o Provide specific examples as appropriate o Be sure all objective content has been covered Conclusion o Restate key concepts o Review the objectives o *What do you want your audience to remember or take away from this project? Presentation
  • 65. Reference List file Summary Page- As a Group…. Team Leader, please compile your Group’s answers into one Word or pdf document time? ord or pdf file NUR 3870 Informatics in Health Care Group Informatics Presentations Grading Rubric!!! Possible Points
  • 67. chapter 4 Costing Methods Learning Objectives • Understand the ethical duty of managerial accountants to provide proper costing information. • Apply concepts and techniques that are used to fairly measure and report job costs. • Be able to track job costs, including overhead, through a typical accounting system. • Understand alternative costing concepts, such as process costing and activity-based costing. istockphoto waL80281_04_c04_083-112.indd 1 9/25/12 1:02 PM 84 CHAPTER 4Chapter Outline Chapter Outline
  • 68. 4.1 Job Costing Job Costing and the Ledger Actual Overhead Differences Between Actual and Applied Overhead Mandatory Reporting of Overhead Job Costing Is Not Only for Manufacturing 4.2 Process Costing Environments Cost of Production Report Case Study in Process Costing 4.3 Activity-Based Costing ABC Modeling ABC Example What is the cost of producing a product or service? To the untrained accountant, this question seems simple enough. But, the more you learn about accounting, the more difficult this question becomes to answer. How does one identify all of the necessary ele- ments that are needed to produce an output? The answer to this question necessarily includes direct material and direct labor. But you are also very familiar with other factory and nonfactory-related costs that must be incurred before a product may be produced. Typically, accountants will devise schemes by which costs are captured and assigned to products. When an accountant reports on the cost of a product or service, he or she is really reporting on measurements based on systematic processes for cost assignment. Accountants should not be flippant in developing their costing procedures. Key busi- ness decisions that impact the allocation of business resources,
  • 69. and ultimately peoples’ livelihoods, are at stake. As such, accountants have a high ethical duty to develop and correctly deploy fair and defensible models for product costing. This chapter provides insight into costing techniques that offer general acceptability in arriving at an answer to the all-important question about the cost of a product or service. Several methods can be used for costing purposes. They are somewhat dependent on the nature of the product that is being produced and/or the process by which production occurs. One such method is job costing, which is best suited to those situations in which goods and services are produced upon receipt of a customer order, according to customer specifications, or in separate batches. For example, a home builder would likely accumulate costs for each unique house that it produces. Materials and labor can be readily identified with each house, and the costing method will accumulate costs accordingly. In contrast, process costing captures costs for each process or department. It is applicable to homog- enous goods that are produced in batches or continuous processes. An example is the pro- duction of candy. Candy might be produced in stages such as mixing, cutting, and cooking. Within the mixing department, the cost of all ingredients and labor is accumulated and divided across the total pounds of finished goods to find a per- pound (or other measure) cost for the mixed material. Similar cost assignment processes are followed within each department to arrive at the cost of a final box of candy. The
  • 70. bulk of the remainder of this chapter will introduce you to the key components in job and process costing techniques. waL80281_04_c04_083-112.indd 2 9/25/12 1:02 PM 85 CHAPTER 4Section 4.1 Job Costing Accountants have long thought about costing methods and have challenged the basic assumptions on which costing decisions are made. There is considerable literature on this subject, and alternative models have been proposed. One model that has a strong group of proponents is activity-based costing. This chapter will close with a brief introduction to this alternative approach to answering questions about what a product or service costs. 4.1 Job Costing Job costing entails the development of a tracking system or database by which costs are matched to jobs. This generally entails specifically identifying the amount of direct labor and direct material that is used on a specific job. The other overhead costs are then assigned to a job by reliance on a predetermined overhead allocation formula. One com- mon approach is to take the period’s total anticipated overhead and divide it by the antici- pated labor hours to arrive at an amount of overhead that is expected to be incurred “per
  • 71. labor” (overhead can be applied on other application bases, such as material usage; the goal is to try to closely associate overhead to jobs based on consumption of overhead). A logical starting point for costing a job is to determine the amount of direct labor that is attributable to a specific job. Employees typically complete reports (via a time card, electronic clock, spreadsheet, etc.) indicating the amount of time they worked. From the employees’ perspective, these time reports are important because they may be used to establish how much they are owed (i.e., how many hours they worked). However, in addi- tion to hours worked, time reports usually have codes to identify the work performed. These codes can be matched to specific tasks on specific jobs, but they will also include time spent on travel, breaks, job setups, and other work-related tasks that do not track to a specific product that is being produced. By querying the company’s accounting system, it then becomes possible to determine all of the direct labor time that was spent on a specific job. The indirect labor costs not traced to a specific job become part of the overhead cost pool, which is allocated across all jobs using the overhead application rate. Direct materials are assigned to jobs in a manner very similar to direct labor. It is very important that material that is used on a specific job be matched to the job. Just as employees are expected to maintain time records, they should also complete materials requisition
  • 72. forms. These forms are used to pull raw materials from inventory and transfer them into work in process. A very detailed coding system must be established that allows tracking of material from inventory into a specific job. Sometimes, a materials requisition form will only show inventory by part number and not identify the cost of the material. When this is the case, additional systems must be put in place to subsequently allow the company to identify the cost of the materials. Great care must always be taken to match the right cost to the right item and the right item to the right job. Indirect materials, such as tape, screws, and touch-up paint, are not traced to a specific job. These costs should instead be contemplated in the overhead cost pool that is allocated among all jobs. Previously, it was mentioned that a predetermined overhead rate is used to assign over- head to a particular job. It has likely already occurred to you that there can be differences between the actual overhead incurred and the amount applied to production via the pre- determined overhead application rate. This difference cannot be ignored indefinitely, and you will soon see how it is to be processed. For the moment, let’s not be concerned with those potential differences and instead focus on a job cost sheet (Exhibit 4.1) that sum- marizes direct labor, direct material, and overhead cost that is applied to a particular job: waL80281_04_c04_083-112.indd 3 9/25/12 1:02 PM
  • 73. 86 CHAPTER 4Section 4.1 Job Costing Exhibit 4.1 D ir e ct L a b o r S o u rc e C o d e R a te H
  • 94. O S T S H E E T L a b o r H o u rs waL80281_04_c04_083-112.indd 4 9/25/12 1:02 PM 87 CHAPTER 4Section 4.1 Job Costing Exhibit 4.1 is quite typical. The direct labor hours are drawn from the employee time cards and associated with each employee’s wage rate. The direct materials are drawn from the
  • 95. materials requisition forms (or similar documents) and associated with the cost of specific inventory items, and the overhead is applied based on the predetermined rates. Be aware that technology can greatly facilitate preparation of job cost sheets. For instance, materials can be automatically tracked to jobs by scanners and radio frequency identifica- tion chips. Furthermore, the job cost sheet is really just a compilation of data into a use- ful report format. The data may be mined from within a sophisticated database. Beyond this summarized data, you also need to recognize that information must be captured by a company’s general ledger system and lead to the preparation of aggregated data for reporting purposes. Job Costing and the Ledger The data, which are foundational for the preceding job cost sheet, must also be transferred to a company’s general ledger system. A robust information system will do this quite easily and automatically. However, it is necessary for you to see the debit/credit process to fully comprehend the cost flow through an accounting system and into the resulting financial statements. Let’s begin by considering the cost flows for the various factors of production. The typical sequence of steps for direct materials entails the purchase of raw materials from a sup- plier, a transfer of raw materials into work in process as
  • 96. production occurs, the transfer of the cost of completed goods into finished goods inventory, and finally the transfer of inventory to cost of goods sold when products are sold and delivered to a customer. Direct labor is slightly simpler because the first step is essentially not applicable. As wages are incurred, those costs are accumulated straight into Work in Process. Upon completion, the labor cost is transferred to Finished Goods Inventory and then on to Cost of Goods Sold at the time of sale. The factory overhead items, such as factory depreciation, main- tenance, supplies, indirect labor, and indirect material, are not directly added to Work in Process. Instead, these costs are introduced into Work in Process based on the predeter- mined application base; if overhead is applied based on labor hours, it may well be that overhead is attached concurrent with direct labor costs. The following entries illustrate the full process for assigning job costs. Carefully review each entry, taking special note of the related journal entry description: 10-1-X2 Raw Materials Inventory 965 Accounts Payable 965 To record purchase of materials, placing costs into raw materials inventory 10-15-X2 Work in Process Inventory 1,947 Raw Materials Inventory 965
  • 97. Salaries Payable 564 Factory Overhead 418 To transfer raw materials to production, record direct labor costs on job, and apply overhead at the predetermined rate of $11 per direct labor hour waL80281_04_c04_083-112.indd 5 9/25/12 1:02 PM 88 CHAPTER 4Section 4.1 Job Costing 10-24-X2 Finished Goods Inventory 1,947 Work in Process Inventory 1,947 To transfer total cost of a completed unit to finished goods inventory 10-28-X2 Accounts Receivable 2,500 Sales 2,500 To record sale of finished for $2,500 Cost of Goods Sold 1,947 Finished Goods Inventory 1,947 To remove cost of sold unit from the finished goods inventory Actual Overhead
  • 98. Students are sometimes slightly confused by their first exposure to the accounting for factory overhead. In previous chapters, you saw how salaries, utilities, depreciation, the consumption of supplies, and similar costs were charged (i.e., debited) directly to vari- ous expense accounts. The accounting for these types of costs in a manufacturing envi- ronment now gets a slight twist. In the preceding entries, we credited an account titled “Factory Overhead” for the allocated amount of overhead cost. What is the nature of this overhead account? It clearly is not Cash, Accounts Payable, or some other familiar account that would ordinarily be related to an expenditure. Instead, it is a unique account that is used to accumulate and allocate the actual overhead costs. The credit you witnessed was the allocation effect. The accumulation of the actual costs results in a debit to Factory Overhead as follows: 10-XX-X2 Factory Overhead 450 Salaries Payable 150 Supplies 75 Accumulated Depreciation 100 Utilities Payable 125 To record actual factory overhead costs The previous credits are those customarily associated with
  • 99. incurring salaries, using sup- plies, recording depreciation, and utilizing utilities. However, instead of debiting the cus- tomary expense accounts, the costs are charged to Factory Overhead. The net result of this process is to debit Factory Overhead for the actual costs incurred and credit Factory Over- head as these costs are allocated to Work in Process (which eventually gets transferred to expense as Cost of Goods Sold as shown via the preceding entries). You may be wonder- ing what happens if the amount of overhead actually incurred differs from the amount allocated, and that question is answered in the following discussion. waL80281_04_c04_083-112.indd 6 9/25/12 1:03 PM 89 CHAPTER 4Section 4.1 Job Costing Differences Between Actual and Applied Overhead An actual company would, of course, have many jobs in process, so the preceding journal entries for only one job present a very simple picture of costs flows within the organiza- tion. Nevertheless, it is a realistic portrait. Notice that assigned costs totaled $1,947 (pro- ducing a $553 profit: $2,500 sales price 2 $1,947 of goods sold), including allocated over- head of $418. However, the actual overhead was $450. The fact that actual overhead was
  • 100. more than the amount assigned to production represents underapplied overhead. This is indicative of an unfavorable outcome. More was actually spent than was anticipated based on the application rate. This amount cannot be ignored. Based on the previous journal entries, the Factory Overhead account contains a net debit of $32 ($450 in debits and $418 in credits). Accountants dispose of this balance by one of several processes. A popular approach is to adjust cost of goods sold as follows: 10-31-X2 Cost of Goods Sold 32 Factory Overhead 32 To transfer underapplied overhead to cost of goods sold This entry causes an increase in cost of goods sold for the excess overhead spending. Alternative methods for clearing the Factory Overhead account are usually covered in advanced accounting classes. What is most important for you to note at this time is that the Factory Overhead is indeed zeroed out. It is not a financial statement account. Rather, it is a temporary account for accumulating and transferring overhead costs into produc- tion. If applied overhead had exceeded the actual amount, overhead would have been overapplied. Overapplied overhead would be cleared in just the opposite manner of that illustrated for underapplied overhead. Mandatory Reporting of Overhead
  • 101. Although managerial accounting information is generally viewed as for internal use only, be mindful that many manufacturing companies do prepare external financial statements. Also, generally accepted accounting principles (GAAP) dictate the form and content of those reports. GAAP requires that underapplied overhead relating to idle facilities, wasted material, the allocation of fixed production overhead, and so forth be charged to current period income by means similar to those just illustrated. Job Costing Is Not Only for Manufacturing Most textbook illustrations tend to demonstrate job costing in the context of a product- manufacturing scenario. However, at least in the United States, most employees now work in the service sector. This includes the fields of accounting, sales, law, food service, elec- tronic information, and transportation. In addition, the not-for- profit and governmental sectors are significant components of the economy. Activities relate to education, health care, fire protection, law enforcement, transportation, human services, and the like. The idea of a “job” can easily be expanded from a tangible product to a particular activity. In health care, a job could be a surgical procedure. In accounting, a job could be preparation waL80281_04_c04_083-112.indd 7 9/25/12 1:03 PM 90
  • 102. CHAPTER 4Section 4.2 Process Costing Environments of a tax return. In education, a job could be a particular course. Measuring the cost of this output is equally important, and the job costing techniques remain fully applicable. For example, an architectural firm would likely track time (direct labor) devoted to each design. Direct materials can relate to printing of blueprints. Overhead allocations can become substantial, including the office costs, computers, software, and so forth. Success- ful management of a service-related entity requires careful attention to costing informa- tion. As you can imagine, it is easy to underestimate the full cost of providing services to customers; it is ultimately necessary to recover not only direct labor but also the other significant costs of operations. 4.2 Process Costing Environments Sometimes job costing techniques simply do not apply. Production may instead involve a continuous flow of raw materials through production departments. The output is not identifiable as discrete jobs. Rather, output consists of a homogenous product. Paint, petroleum distillates, paper products, steel, glass, and many other products display such attributes. It becomes virtually impossible to match direct labor and direct material to a particular gallon, pound, square foot, or other measure of final output. Nevertheless, it is vitally important for management to be able to assess the cost of production. Companies
  • 103. facing this challenge often turn to process costing. Process costing allocates the total cost of production across all units of output. This usually entails accumulation of costs for each stage (or department) of production and assigning those costs to all output from that stage. Process costing has certain attributes in common with job costing. Material, labor, and fac- tory overhead are all still assigned to work in process, and they are eventually transferred on to finished goods and then to cost of goods sold. In this respect, the journal entries are quite like those applicable to job costing. The main difference between job costing and process costing is that process costing captures costs by process or department rather than by specific job. If you consider a candy factory, three departments define the basic processes: mixing ingredients, cutting the ingredients into bite- sized pieces, and cooking. A separate Work in Process account will likely be used for each department. The Work in Process account for the mixing department will capture (i.e., be debited) the aggregate amount of direct material, direct labor, and allocated factory overhead incurred during a period. The accounts utilized in this entry would appear like the October 15 entry that was used for the job costing illustration. Assuming a weighted-average cost assumption (in contrast to FIFO or some other technique), the total dollar amount accu- mulated in this account would be divided by the total
  • 104. production (this could be pounds or some other measure) to find per-unit cost (e.g., dollars per pound). The per-unit cost can then be used to allocate cost between goods still in process and those that were completed and transferred to the cutting department. The journal entry to reflect a transfer out of cost from the mixing department to the cutting department would appear as follows: waL80281_04_c04_083-112.indd 8 9/25/12 1:03 PM 91 CHAPTER 4Section 4.2 Process Costing Environments 10-30-X2 Work in Process Inventory 2 Cutting 50,000 Work in Process Inv. 2 Mixing 50,000 To transfer cost assigned to completed pounds of mixed candy to the cutting department The cutting department’s Work in Process account would therefore include the direct material, direct labor, and factory overhead generated directly within that department and also the carried forward cost from the preceding mixing department. A similar pro- cess would be used to transfer work completed by the cutting department to the cooking department. At the end of the production process, the Work in Process account of the final
  • 105. stage (cooking) would be cleared of the accumulated costs by a transfer of those costs to finished goods inventory. This entry would be just as the October 24 entry for the job cost- ing example. By carefully following this approach, the finished goods inventory will have completely captured the costs of production generated within each department. Cost of Production Report When process costing methods are used, management of each department will likely receive a cost of production report for each period. This report is very similar in purpose to a job cost sheet. It details the amount of direct material, direct labor, and factory overhead incurred by the department (rather than by job as with a job cost sheet). It then shows how those costs were allocated to total production and provides supporting documentation for the journal entries that were used to transfer costs to successive departments. To understand a cost of production report requires the introduction of one new dimen- sion, that of equivalent units. An equivalent unit is a physical unit expressed in terms of a finished unit. This is a relatively simple concept. As an example, assume that 100 pounds of candy was 40% complete within a particular department. This is assumed to be equivalent to the production of 40 pounds (100 pounds 3 40% complete). Although none of the 100 pounds is complete, we can abstractly say that
  • 106. we produced the equiva- lent of 40 pounds. The concept of equivalent units is exceedingly important to grasp. It is rare that a com- pany will not have goods in production at the end of an accounting period. Accounting periods end on regular intervals, but there is no compelling business reason to cease pro- duction with the flip of a page on a calendar. Indeed, many production processes are dif- ficult to stop and restart effectively (e.g., heating a kiln). It is better to keep the production flow going. Thus, it is frequently necessary for managerial accountants to estimate the equivalent units under production. As you examine the example cost of production report that follows, you will see how this concept comes into play. The following example shows a simplified cost of production report for one department for 1 month. As you inspect this report, take special note that the ending work in process was assumed to be 40% complete. This report shows that of the total cost of $1,500,000, $1,250,000 was transferred to the next department, and $250,000 remained in work in pro- cess at the end of the month. waL80281_04_c04_083-112.indd 9 9/25/12 1:03 PM 92 CHAPTER 4Section 4.2 Process Costing Environments
  • 107. SWEET CANDY COMPANY Cost of Production Report for Mixing Department for the Month of October 20XX Total Pounds Percent Complete Equivalent Units Transferred to Cutting Department 500,000 100% 500,000 In production at end of month 250,000 40% 100,000 Total equivalent units for the month 600,000 Cost Calculations Cost of beginning inventory $ 400,000 Additional costs during the month 1,100,000 Total costs to account for $1,500,000 Equivalent units from above ÷ 600,000 Per unit cost $ 2.50
  • 108. Equivalent Units Per Unit Cost Cost Assignment Total pounds transferred to Cutting Department 500,000 $2.50 $1,250,000 Equivalent units in ending work in process 100,000 $2.50 250,000 600,000 $1,500,000 The preceding cost of production report was simplified by an assumption that materials, labor, and overhead were all introduced into production uniformly. If you study more advanced cost accounting courses, you will learn how to account for scenarios where that assumption is violated. Essentially, it becomes necessary to separate the cost of materials, labor, and overhead so that you derive separate costs per equivalent for each component. waL80281_04_c04_083-112.indd 10 9/25/12 1:03 PM
  • 109. 93 CHAPTER 4Section 4.2 Process Costing Environments Case Study in Process Costing To further illustrate process costing, let’s focus on a comprehensive case study. Yum Gum produces chewing gum in a three-step process consisting of (a) blending ingredients, (b) cooking, and (c) cutting and packing. Each process involves a uniform incurrence and introduction of materials, labor, and overhead. Following are cost of production reports for each of the three departments for August. The amounts are all assumed, but do take note of how costs transferred out of one department are received into the next department. YUM GUM Cost of Production Report for Blending Department for the Month of August Total Pounds Percent Complete Equivalent Units Transferred to Cooking Department
  • 110. 300,000 100% 300,000 In production at end of month 100,000 25% 25,000 Total equivalent units for the month 325,000 Cost Calculations Cost of beginning inventory $ 80,000 Additional costs during the month 570,000 Total costs to account for $650,000 Equivalent units from above ÷ 325,000 Per unit cost $2.00 Equivalent Units Per Unit Cost Cost Assignment Total pounds transferred to Cooking Department 300,000 $ 2.00 $600,000
  • 111. Equivalent units in ending work in process 25,000 $ 2.00 50,000 325,000 $ 650,000 waL80281_04_c04_083-112.indd 11 9/25/12 1:03 PM 94 CHAPTER 4Section 4.2 Process Costing Environments YUM GUM Cost of Production Report for Cooking Department for the Month of August Total Pounds Percent Complete Equivalent Units Transferred to Cutting Department 250,000 100% 250,000 In production at end of month 60,000 30% 18,000 Total equivalent units for the month
  • 112. 268,000 Cost Calculations Cost of beginning inventory $ 35,000 Costs transferred in from Blending Department 600,000 Additional costs during the month 236,000 Total costs to account for $ 871,000 Equivalent units from above ÷ 268,000 Per unit cost $ 3.25 Equivalent Units Per Unit Cost Cost Assignment Total pounds transferred to Cutting Department 250,000 $3.25 $812,500 Equivalent units in ending work in
  • 113. process 18,000 $3.25 58,500 268,000 $871,000 waL80281_04_c04_083-112.indd 12 9/25/12 1:03 PM 95 CHAPTER 4Section 4.2 Process Costing Environments YUM GUM Cost of Production Report for Cutting Department for the Month of August Total Pounds Percent Complete Equivalent Units Transferred to Finished Goods 275,000 100% 275,000 In production at end of month 40,000 60% 24,000 Total equivalent units for the month 299,000
  • 114. Cost Calculations Cost of beginning inventory $ 260,000 Additional costs during the month 123,500 Costs transferred in from Cooking Department 812,500 Total costs to account for $1,196,000 Equivalent units from above ÷ 299,000 Per unit cost $ 4.00 Equivalent Units Per Unit Cost Cost Assignment Total pounds transferred to Finished Goods 275,000 $4.00 $1,100,000 Equivalent units in ending work in process
  • 115. 24,000 $4.00 96,000 299,000 $1,196,000 The cost of production report for each department triggers information necessary to sup- port the following journal entries. Be sure to observe the unique entries where costs are handed off from one department to the next. waL80281_04_c04_083-112.indd 13 9/25/12 1:03 PM 96 CHAPTER 4Section 4.2 Process Costing Environments Journal entries related to blending: 8-31-XX Work in Process Inventory 2 Blending 570,000 Raw Materials Inventory 190,000 Salaries Payable 190,000 Factory Overhead 190,000 To transfer raw materials to production, record direct labor costs for blending, and apply overhead at the predetermined rate 8-31-XX Work in Process Inventory 2 Cooking 600,000 Work in Process Inventory 2 Blending 600,000
  • 116. To transfer cost assigned to completed pounds of blended gum to cooking department Journal entries related to cooking: 8-31-XX Work in Process Inventory 2 Cooking 236,000 Raw Materials Inventory 78,667 Salaries Payable 78,667 Factory Overhead 78,666 To transfer raw materials to production, record direct labor costs for cooking, and apply overhead at the predetermined rate 8-31-XX Work in Process Inventory 2 Cutting 812,500 Work in Process Inventory 2 Cooking 812,500 To transfer cost assigned to completed pounds of cooked gum to cutting department Journal entries related to cutting: 8-31-XX Work in Process Inventory 2 Cutting 123,500 Raw Materials Inventory 41,167 Salaries Payable 41,167 Factory Overhead 41,166 To transfer raw materials to production, record direct labor costs for cutting, and apply
  • 117. overhead at the predetermined rate 8-31-XX Finished Goods Inventory 1,100,000 Work in Process Inventory 2 Cutting 1,100,000 To transfer cost assigned to completed pounds of cut gum to finished goods waL80281_04_c04_083-112.indd 14 9/25/12 1:03 PM 97 CHAPTER 4Section 4.3 Activity-Based Costing This comprehensive example shows how costs are monitored, accumulated, and assigned to finished goods. Bear in mind that the comingling of ingredients and involvement of numerous steps makes it exceedingly difficult to have an intuitive awareness of costs for goods that are produced via continuous processes. Process costing is essential for con- trolling costs and setting pricing in such environments. 4.3 Activity-Based Costing Both job costing and process costing methods divide costs between product and period costs. As you know, period costs are charged against income as they occur, and they generally relate to selling, general, and administrative (SG&A) activities. In contrast, direct materials, direct labor, and factory overhead are assigned to inventory. One concep-
  • 118. tual shortcoming is that it becomes difficult to fully contemplate the true cost of a finished product. Arguably, the cost of producing a product should sometimes take into account a portion of the organization’s SG&A. For instance, buying raw materials is an adminis- trative task: Why is the cost of this activity not assigned to inventory? Conversely, lawn maintenance for a factory is usually part of factory overhead: Why does the cost of that activity become assigned to inventory when the cost will be incurred no matter how many units are produced? Activity-based costing (ABC) attempts to overcome deficiencies such as those cited in the preceding paragraph. ABC requires a new mind-set as compared to traditional cost- ing methods. Some companies have embraced ABC, and others see it as too radical of a departure from traditional costing methods. Indeed, ABC is not acceptable for external reporting under GAAP. Thus, companies that implement aspects of ABC typically do so to supplement traditional costing information. ABC is normally for internal use only and is intended to facilitate internal decision-making processes by pinpointing actual (full) production costs more precisely. ABC requires one to abandon attempts to distinguish product and period costs. Instead, ABC is a costing model that divides production into core cost objects and activities, defines the costs for each, and then allocates activity costs to cost objects based on how much of a
  • 119. particular activity is consumed by the cost object. This results in products absorbing costs of manufacturing and nonmanufacturing activities alike. Conversely, some manufactur- ing costs may not attach to any products. The driving principle of ABC is that a product’s cost is based only on the cost of capacity utilized in producing the product. Unused capac- ity is not assessed or allocated to production. Remember that traditional costing approaches usually allocate all manufacturing costs (via the overhead application rate), whether related to excess capacity or not, to the inven- tory actually produced. This has the potential to distort the measured cost of production, thereby limiting a manager’s ability to make decisions about pricing and production. As you might suspect, important business decisions are based on assessment of product prof- itability. To the extent a product’s sales price is set by market conditions, and profit is seen as the sales price minus product cost, the determination of a product’s cost becomes criti- cal in deciding on its fate. waL80281_04_c04_083-112.indd 15 9/25/12 1:03 PM 98 CHAPTER 4Section 4.3 Activity-Based Costing ABC Modeling
  • 120. If you think about traditional costing, you will quickly conclude that the cost object is normally a product or service. With ABC, the concept of a cost object is far more expan- sive. Cost objects expand to also include customers, markets, and similarly identifiable items or events that require activity to support. For example, a customer may receive a quarterly visit from a sales representative, no matter the level of purchasing activity. The customer would be a cost object, and activities to support the customer might include an airline ticket, hotel bill, and so forth. These activities have a clear cost that is traceable to the customer (i.e., the cost object) rather than the products produced/sold or period incurred. A business is apt to have many cost objects and hundreds of activities in sup- port thereof. Therefore, the first step in ABC implementation entails a detailed study of processes and costs. This study is usually supported by flowcharts and diagrams, and it may resemble something that looks more like it was developed by an engineer than a managerial accountant. In linking activities to cost objects, it is important to consider that activities occur at many levels. Some activities occur at the unit level. There is a one-to- one correspondence with a unit of output. Final inspection of each car for an automobile manufacturer is an example. Other activities occur at a batch level. Global shipping of containers is an example; the same amount of effort must be expended to clear customs, regardless of the quantity of
  • 121. individual products within a container. Thus, shipping a container would be a batch-level activity. Other activities occur at much higher levels. Product- level activities include designing a new product. Customer-level activities include developing catalogs and sales calls; in other words, the amount of activity is dependent on the number of custom- ers. Some businesses even identify market-level activities (Asia, Europe, North America, etc.). At the highest level are entity-sustaining activities, such as the cost of a corporate audit. The identification of activities is unique to each company, and considerable study and thought is needed to properly map a company’s activities. Once all activities and cost objects have been identified, it next becomes necessary to study how the organization’s costs align with activities and objects. Basically, each cost is identified as one of three types. First, some costs are directly traceable to a specific cost object. Direct material is a clear example of a cost that is attributable to the “product” cost object. You are quite familiar with this concept because this piece is the same under traditional costing and ABC. Moving to a less familiar concept, the cost of printing a cata- log would be traced to a “customer” cost object. Once all costs that can be directly traced are determined, the second step is to attempt to allocate remaining costs to specific activi- ties. For some costs, this is very logical. The cost of a new product design team would be allocated to the product-level design activity. At other times, considerable judgment must
  • 122. be applied to make the allocation. Consider the light bill for the office space; perhaps 10% of this amount is for electricity usage within the design department’s space. You can see that ABC quickly entails a degree of complexity. Finally, some costs do not seem to match with any cost object or activity. This third grouping of costs is not assigned to any activity or cost object. The fact that a cost is not assigned to a cost object or activity does not mean that it is to be ignored; it is expensed but should be closely monitored by management. The final step in ABC requires that the cost of activities be allocated to cost objects. For example, the accumulated cost of the design activity must finally be allocated to cost objects. If three new products were developed, it might be appropriate that the design activity’s total cost be shared one-third by each new product. waL80281_04_c04_083-112.indd 16 9/25/12 1:03 PM 99 CHAPTER 4Section 4.3 Activity-Based Costing Exhibit 4.2 is an attempt to recap the overall design of an ABC system: Exhibit 4.2 ABC Example
  • 123. Because of its complexity, it is easy to quickly lose sight of the purpose of ABC. ABC is intended to improve measures of cost. By introducing activity cost pools as an interme- diate step for selected costs (rather than allocating every cost directly to a product or period), we are much better able to allocate the costs to end objects (products, customers, etc.). Without activity cost pools, it becomes difficult to connect each cost with final cost objects. A simplified example should prove quite helpful in clarifying how ABC works. Hong sells three products. Each product generates exactly $1,750,000 in total sales. Two products (A and B) are manufactured internally, and one (C) is outsourced. A and C are sold via direct sales efforts, and B is sold only via a website. For simplicity, assume Hong has only four identifiable activities: manufacturing, direct sales, administration, and web sup- port. The cost of manufacturing ($1,000,000, excluding direct materials and direct labor) is allocated 50% to A and 50% to B. The study of the cost of direct sales ($800,000) revealed that it is attributable 70% to A and 30% to C. Administrative activities ($1,200,000) are found to be consumed 20% by A, 30% by B, and 50% by C. Finally, web support ($100,000) is 100% attributable to B. Let’s assume that there are no costs that cannot be traced to a particular cost object or activity. ASSIGN COSTS TO ACTIVITIES WHEN NOT TRACEABLE TO COST
  • 124. OBJECT ADOPT ALLOCATION SCHEME TO TRANSFER ACTIVITY COSTS TO COST OBJECTS CHARGED TO EXPENSE BUT MONITORED CLOSELY AS PART OF OVERALL FINANCIAL MANAGEMENT FINAL COST DETERMINATION FOR COST OBJECTS DETERMINE COSTS STUDY COSTS AND PROCESSES TRACE COSTS TO COST OBJECTS WHEN POSSIBLE COSTS THAT ARE NOT TRACEABLE OR ASSIGNABLE waL80281_04_c04_083-112.indd 17 9/25/12 1:03 PM
  • 125. 100 CHAPTER 4Section 4.3 Activity-Based Costing Table 4.1 reveals the ABC approach to assessing costs for each final product. Table 4.1: The ABC approach to assessing costs Product A Product B Product C Direct materials and labor (traceable) $500,000 $750,000 Purchase of outsourced product (traceable) $900,000 Manufacturing activity (allocated activity) 500,000 500,000 Direct sales (allocated activity) 560,000 240,000 Administration (allocated activity) 240,000 360,000 600,000 Web support (allocated activity) - 100,000 - Total cost assignment $1,800,000 $1,710,000 $1,740,000 The costs in the preceding table were either directly traceable to cost object A, B, and C or allocated based on the given percentages. The resulting total cost assignment shows that only products B and C are profitable (remember that each product had total sales of $1,750,000). A traditional costing model would not pinpoint these facts nearly so precisely.