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Cost-Volume-profit Analysis accounting slide
1.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 1 Cost-Volume-Profit Analysis Chapter 3
2.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 2 Learning Objective 1 Understand the assumptions underlying cost-volume-profit (CVP) analysis.
3.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 3 Cost-Volume-Profit Assumptions and Terminology 1. Changes in the level of revenues and costs arise only because of changes in the number of product (or service) units produced and sold. 2. Total costs can be divided into a fixed component and a component that is variable with respect to the level of output.
4.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 4 Cost-Volume-Profit Assumptions and Terminology 3. When graphed, the behavior of total revenues and total costs is linear (straight-line) in relation to output units within the relevant range (and time period). 4. The unit selling price, unit variable costs, and fixed costs are known and constant.
5.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 5 Cost-Volume-Profit Assumptions and Terminology 5. The analysis either covers a single product or assumes that the sales mix when multiple products are sold will remain constant as the level of total units sold changes. 6. All revenues and costs can be added and compared without taking into account the time value of money.
6.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 6 Cost-Volume-Profit Assumptions and Terminology Operating income = Total revenues from operations – Cost of goods sold and operating costs (excluding income taxes) Net income = Operating income – Income taxes
7.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 7 Learning Objective 2 Explain the features of CVP analysis.
8.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 8 Essentials of Cost-Volume-Profit (CVP) Analysis Example Assume that the Pants Shop can purchase pants for $32 from a local factory; other variable costs amount to $10 per unit. The local factory allows the Pants Shop to return all unsold pants and receive a full $32 refund per pair of pants within one year. The average selling price per pair of pants is $70 and total fixed costs amount to $84,000.
9.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 9 Essentials of Cost-Volume-Profit (CVP) Analysis Example How much revenue will the business receive if 2,500 units are sold? 2,500 × $70 = $175,000 How much variable costs will the business incur? 2,500 × $42 = $105,000 $175,000 – 105,000 – 84,000 = ($14,000)
10.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 10 Essentials of Cost-Volume-Profit (CVP) Analysis Example What is the contribution margin per unit? $70 – $42 = $28 contribution margin per unit What is the total contribution margin when 2,500 pairs of pants are sold? 2,500 × $28 = $70,000
11.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 11 Essentials of Cost-Volume-Profit (CVP) Analysis Example Contribution margin percentage (contribution margin ratio) is the contribution margin per unit divided by the selling price. What is the contribution margin percentage? $28 ÷ $70 = 40%
12.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 12 Essentials of Cost-Volume-Profit (CVP) Analysis Example If the business sells 3,000 pairs of pants, revenues will be $210,000 and contribution margin would equal 40% × $210,000 = $84,000. A FEDERAL RESERVE NOTE THE UNITED STATES OF AMERICATHE UNITED STATES OF AMERICA L70744629F 12 1212 12 L70744629F ONE DOLLARONE DOLLAR W A S H IN G T O N , D .C. TH I S N O TE IS L E G A L T E N D E R F O R A L L D E B T S , P U B L I C A N D P R IV A T E S E R I E S 1 9 8 5 H 293
13.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 13 Learning Objective 3 Determine the breakeven point and output level needed to achieve a target operating income using the equation, contribution margin, and graph methods.
14.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 14 Breakeven Point Sales Variable expenses Fixed expenses – = Total revenues = Total costs
15.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 15 Abbreviations SP = Selling price VCU = Variable cost per unit CMU = Contribution margin per unit CM% = Contribution margin percentage FC = Fixed costs
16.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 16 Abbreviations Q = Quantity of output units sold (and manufactured) OI = Operating income TOI = Target operating income TNI = Target net income
17.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 17 Equation Method $70Q – $42Q – $84,000 = 0 $28Q = $84,000 Q = $84,000 ÷ $28 = 3,000 units Let Q = number of units to be sold to break even (Selling price × Quantity sold) – (Variable unit cost × Quantity sold) – Fixed costs = Operating income
18.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 18 Contribution Margin Method $84,000 ÷ $28 = 3,000 units $84,000 ÷ 40% = $210,000
19.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 19 Graph Method 0 42 84 126 168 210 252 294 336 378 0 1000 2000 3000 4000 5000 Units $(000) Breakeven Fixed costs
20.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 20 Target Operating Income (Fixed costs + Target operating income) divided either by Contribution margin percentage or Contribution margin per unit
21.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 21 Target Operating Income Assume that management wants to have an operating income of $14,000. How many pairs of pants must be sold? ($84,000 + $14,000) ÷ $28 = 3,500 What dollar sales are needed to achieve this income? ($84,000 + $14,000) ÷ 40% = $245,000
22.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 22 Learning Objective 4 Understand how income taxes affect CVP analysis.
23.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 23 Target Net Income and Income Taxes Example Management would like to earn an after tax income of $35,711. The tax rate is 30%. What is the target operating income? Target operating income = Target net income ÷ (1 – tax rate) TOI = $35,711 ÷ (1 – 0.30) = $51,016
24.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 24 Target Net Income and Income Taxes Example How many units must be sold? Revenues – Variable costs – Fixed costs = Target net income ÷ (1 – tax rate) $70Q – $42Q – $84,000 = $35,711 ÷ 0.70 $28Q = $51,016 + $84,000 Q = $135,016 ÷ $28 = 4,822 pairs of pants
25.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 25 Target Net Income and Income Taxes Example Proof: Revenues: 4,822 × $70 $337,540 Variable costs: 4,822 × $42 202,524 Contribution margin $135,016 Fixed costs 84,000 Operating income 51,016 Income taxes: $51,016 × 30% 15,305 Net income $ 35,711
26.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 26 Learning Objective 5 Explain CVP analysis in decision making and how sensitivity analysis helps managers cope with uncertainty.
27.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 27 Using CVP Analysis Example Suppose the management anticipates selling 3,200 pairs of pants. Management is considering an advertising campaign that would cost $10,000. It is anticipated that the advertising will increase sales to 4,000 units. Should the business advertise?
28.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 28 Using CVP Analysis Example 3,200 pairs of pants sold with no advertising: Contribution margin $89,600 Fixed costs 84,000 Operating income $ 5,600 4,000 pairs of pants sold with advertising: Contribution margin $112,000 Fixed costs 94,000 Operating income $ 18,000
29.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 29 Using CVP Analysis Example Instead of advertising, management is considering reducing the selling price to $61 per pair of pants. It is anticipated that this will increase sales to 4,500 units. Should management decrease the selling price per pair of pants to $61?
30.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 30 Using CVP Analysis Example 3,200 pairs of pants sold with no change in the selling price: Operating income = $5,600 4,500 pairs of pants sold at a reduced selling price: Contribution margin: (4,500 × $19) $85,500 Fixed costs 84,000 Operating income $ 1,500
31.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 31 Sensitivity Analysis and Uncertainty Example Assume that the Pants Shop can sell 4,000 pairs of pants. Fixed costs are $84,000. Contribution margin ratio is 40%. At the present time the business cannot handle more than 3,500 pairs of pants.
32.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 32 Sensitivity Analysis and Uncertainty Example To satisfy a demand for 4,000 pairs, management must acquire additional space for $6,000. Should the additional space be acquired? Revenues at breakeven with existing space are $84,000 ÷ .40 = $210,000. Revenues at breakeven with additional space are $90,000 ÷ .40 = $225,000
33.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 33 Sensitivity Analysis and Uncertainty Example Operating income at $245,000 revenues with existing space = ($245,000 × .40) – $84,000 = $14,000. (3,500 pairs of pants × $28) – $84,000 = $14,000
34.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 34 Sensitivity Analysis and Uncertainty Example Operating income at $280,000 revenues with additional space = ($280,000 × .40) – $90,000 = $22,000. (4,000 pairs of pants × $28 contribution margin) – $90,000 = $22,000
35.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 35 Learning Objective 6 Use CVP analysis to plan fixed and variable costs.
36.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 36 Alternative Fixed/Variable Cost Structures Example What is the new contribution margin? Decrease the price they charge from $32 to $25 and charge an annual administrative fee of $30,000. Suppose that the factory the Pants Shop is using to obtain the merchandise offers the following:
37.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 37 Alternative Fixed/Variable Cost Structures Example $70 – ($25 + $10) = $35 Contribution margin increases from $28 to $35. What is the contribution margin percentage? $35 ÷ $70 = 50% What are the new fixed costs? $84,000 + $30,000 = $114,000
38.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 38 Alternative Fixed/Variable Cost Structures Example Management questions what sales volume would yield an identical operating income regardless of the arrangement. 28x – 84,000 = 35x – 114,000 114,000 – 84,000 = 35x – 28x 7x = 30,000 x = 4,286 pairs of pants
39.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 39 Alternative Fixed/Variable Cost Structures Example Cost with existing arrangement = Cost with new arrangement .60x + 84,000 = .50x + 114,000 .10x = $30,000 x = $300,000 ($300,000 × .40) – $ 84,000 = $36,000 ($300,000 × .50) – $114,000 = $36,000
40.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 40 Operating Leverage Operating leverage describes the effects that fixed costs have on changes in operating income as changes occur in units sold. Organizations with a high proportion of fixed costs have high operating leverage.
41.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 41 Operating Leverage Example Degree of operating leverage = Contribution margin ÷ Operating income What is the degree of operating leverage of the Pants Shop at the 3,500 sales level under both arrangements? Existing arrangement: 3,500 × $28 = $98,000 contribution margin
42.
©2003 Prentice Hall
Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 42 Operating Leverage Example $98,000 contribution margin – $84,000 fixed costs = $14,000 operating income $98,000 ÷ $14,000 = 7.0 New arrangement: 3,500 × $35 = $122,500 contribution margin
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 43 Operating Leverage Example $122,500 contribution margin – $114,000 fixed costs = $8,500 $122,500 ÷ $8,500 = 14.4 The degree of operating leverage at a given level of sales helps managers calculate the effect of fluctuations in sales on operating income.
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 44 Learning Objective 7 Apply CVP analysis to a company producing different products.
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 45 Effects of Sales Mix on Income Pants Shop Example Management expects to sell 2 shirts at $20 each for every pair of pants it sells. This will not require any additional fixed costs.
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 46 Effects of Sales Mix on Income What is the contribution margin of the mix? Contribution margin per shirt: $20 – $9 = $11 $28 + (2 × $11) = $28 + $22 = $50
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 47 Effects of Sales Mix on Income $84,000 fixed costs ÷ $50 = 1,680 packages 1,680 × 2 = 3,360 shirts 1,680 × 1 = 1,680 pairs of pants Total units = 5,040
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 48 Effects of Sales Mix on Income What is the breakeven in dollars? 3,360 shirts × $20 = $ 67,200 1,680 pairs of pants × $70 = 117,600 $184,800
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 49 Effects of Sales Mix on Income What is the weighted-average budgeted contribution margin? Pants: 1 × $28 + Shirts: 2 × $11 = $50 ÷ 3 = $16.667
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 50 Effects of Sales Mix on Income The breakeven point for the two products is: $84,000 ÷ $16.667 = 5,040 units 5,040 × 1/3 = 1,680 pairs of pants 5,040 × 2/3 = 3,360 shirts
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 51 Effects of Sales Mix on Income Sales mix can be stated in sales dollars: Pants Shirts Sales price $70 $40 Variable costs 42 18 Contribution margin $28 $22 Contribution margin ratio 40% 55%
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 52 Effects of Sales Mix on Income Assume the sales mix in dollars is 63.6% pants and 36.4% shirts. Weighted contribution would be: 40% × 63.6% = 25.44% pants 55% × 36.4% = 20.02% shirts 45.46%
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 53 Effects of Sales Mix on Income Breakeven sales dollars is $84,000 ÷ 45.46% = $184,778 (rounding). $184,778 × 63.6% = $117,519 pants sales $184,778 × 36.4% = $ 67,259 shirt sales
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 54 Learning Objective 8 Adapt CVP analysis to situations in which a product has more than one cost driver.
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 55 Multiple Cost Drivers Example Suppose that the business will incur an additional cost of $10 for preparing documents associated with the sale of pants to various customers. Assume that the business sells 3,500 pants to 100 different customers. What is the operating income from this sale?
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 56 Multiple Cost Drivers Example Revenues: 3,500 × $70 $245,000 Variable costs: Pants: 3,500 × $42 147,000 Documents: 100 × $10 1,000 Total 148,000 Contribution margin 97,000 Fixed costs 84,000 Operating income $ 13,000
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 57 Multiple Cost Drivers Would the operating income of the Pants Shop be lower or higher if the business sells pants to more customers? The cost structure depends on two cost drivers: 1. Number of units 2. Number of customers
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 58 Learning Objective 9 Distinguish between contribution margin and gross margin.
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 59 Contribution Margin versus Gross Margin Contribution income statement emphasizes contribution margin. Financial accounting income statement emphasizes gross margin.
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Business Publishing, Cost Accounting 11/e, Horngren/Datar/Foster 3 - 60 End of Chapter 3
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