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Learning Objectives
After completing this chapter, you should be able to:
• Define capacity as a measure of an organization’s ability to
provide customers with
the requested service or good.
• Explain that capacity estimation is difficult because many
management decisions
affect capacity.
• Describe how overall capacity of the system is dependent on
the capacities of the
departments and machines that form the production system.
• Determine the bottleneck in a system and demonstrate how
that information can
be used.
• Describe key capacity decisions, such as how much capacity to
add; when, where,
and what type (process) of capacity to add; when to reduce
capacity and by how
much.
8 ©Fotosearch/SuperStock
Capacity Decisions
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CHAPTER 8Section 8.1 Capacity Defined
8.1 Capacity Defined
Capacity is a measure of an organization’s ability to provide
customers with the demanded services or goods in the amount
requested and in a timely manner. Capacity is also the maximum
rate of production. An organization marketing and
selling rotisserie chicken should be able to produce and deliver
chicken in sufficient quan-
tities to satisfy consumer demand during lunch and dinner times
when demand peaks.
Meeting customer demand requires the acquisition of physical
facilities, the hiring and
training of qualified people, and the acquisition of materials to
achieve the desired pro-
duction level. The following important questions about capacity
planning are addressed
in this chapter:
• How can management estimate capacity?
• What is system capacity, and why is it important?
• How can capacity decisions be made to gain a competitive
advantage for the
organization?
Role of Capacity Planning
Capacity planning is very important because significant capital
is usually required to
build the facilities and purchase the equipment to build
capacity. Creating a series of large
server farms to support the Internet and data communications
requires substantial invest-
ment. Millions of dollars are required to build a brewery, a
hospital, or a knitting produc-
tion line to make sweaters. These expenditures are for fixed
assets that are expensive to
maintain and even more expensive to change. Capacity
decisions require careful consid-
eration of an organization’s long-term objectives and the market
demand. Capacity deci-
sions must be consistent with current and anticipated demand.
Organizations should be flexible in order to meet future as well
as present capacity require-
ments. Flexibility can allow managers to:
• Adjust production volume to respond to changes in customer
demand.
• Produce different products on the same equipment (product
mix) to respond to
changing customer needs.
• Alter product technology and process technology to maintain
or improve an
organization’s competitive position.
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CHAPTER 8Section 8.2 Estimating and Altering Capacity
8.2 Estimating and Altering Capacity
Before estimating capacity, it is necessary to recognize the
difference between
theoretical or ideal capacity and
achievable capacity. Theoretical
capacity is what a service firm
or a manufacturer can produce
under ideal conditions for a
short period of time. Under
ideal conditions there are no
equipment breakdowns, main-
tenance requirements, mate-
rial problems, or worker errors.
While organizations strive to
eliminate these unproductive
delays, allowances for these ele-
ments must be made in order
to develop realistic estimates of
capacity.
Real World Scenarios: Meijer Superstores
Meijer superstores provide consumers with a full range of food
products as well as a diverse range
of other products, such as sporting goods, automotive supplies,
clothes, and lawn care equipment.
Meijer’s concept is twofold: 1) build big stores that have high
sales; and 2) aggressively expand the
number of stores. In addition to the advantage of one-stop
shopping, Meijer’s large capacity stores
offer other advantages.
The average purchase made by each customer should be higher
because of the wide product variety.
Although most traditional grocery items such as bread, rice, and
milk have very low profit margins,
products like microwaveable hamburgers, organic products,
free-range chicken, and in-store bakery
goods have higher margins and these boost profits.
Larger capacity allows Meijer to spread the fixed cost of a store
over a greater sales volume, thereby
reducing costs and increasing profits. For example, when more
customers shop at Meijer, the cost of
floor space, food display racks, and checkout facilities remain
unchanged. These are simply utilized
at a higher level. Heating and lighting costs are also unaffected
by these additional shoppers, for the
most part. Meijer is creating economies of scale by serving
more customers with the same facilities
and equipment. Examples of variable costs for Meijer include
staffing levels for checkout counters
and spending for items such as eggs and milk when customers
buy more. Meijer also has installed
self-checkout facilities that take less space and reduce labor
costs at checkout to increase facility
utilization and to enhance productivity.
Meijer is also spreading the fixed costs of corporate operations
over more stores by rapidly expand-
ing the number of new stores. In addition to cutting the per-
store share of these corporate-level fixed
costs, expansion gives Meijer more buying power, which
enables it to negotiate better prices and
delivery schedules from suppliers.
.Thinkstock
To estimate capacity, managers must first select a way to
measure it. Hospitals often use beds as a measure of capacity.
von70154_08_c08_223-256.indd 225 2/22/13 3:34 PM
CHAPTER 8Section 8.2 Estimating and Altering Capacity
To estimate capacity, managers must first select a way to
measure it. In some cases, the
choice is obvious, for example, tons per hour of steel or
kilowatt-hours of electricity. A
hospital can use beds as a measure of capacity. Thus, a hospital
with 100 beds that are
available 365 days per year has a capacity of 36,500 patient-
days each year. Hospitals
measure the number of patients admitted and how long each
stays so they can calculate
patient-days consumed. A comparison of patient-days consumed
and patient-days avail-
able gives the operating ratio shown below.
Hospital’s operating ratio 5
24,000 patient-days consumed
36,500 patient-days available
3 100
5 65.8%
In general, the operating ratio is calculated according to the
following equation:
Operating ratio 5
capacity consumed
capacity available
3 100
Finding a yardstick to estimate capacity is more difficult in a
restaurant than in a hospital
because there is no uniform product on which the measurement
can be based. Capacity
could be measured in terms of people served, meals prepared, or
the ability to gener-
ate sales dollars. It is management’s responsibility to select the
appropriate measure and
apply it.
Once the measure has been selected, estimating capacity
involves the following steps:
1. Determine the maximum rate per hour of the production
equipment.
2. Determine the number of hours worked in a given time
period.
3. Multiply those two numbers.
Capacity/period 5 (maximum production rate/hour) 3 (number
of
hours worked/period)
Production rate 5
number of units produced
amount of time
Capacity can be changed by changing the number of hours
worked in a time period, or
by changing the production rate. The number of hours worked
per time period is affected
by several factors, including overtime, multiple shifts,
downtime for preventive mainte-
nance, and allowances for unplanned equipment failure.
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CHAPTER 8Section 8.2 Estimating and Altering Capacity
Several management decisions
affect capacity. For example,
increases in the amount and
quality of preventive mainte-
nance could increase capacity
by reducing unexpected equip-
ment failure. Other decisions
affect capacity by changing the
production rate. The following
decisions are examined in this
section:
• Changing the mix of
products produced by
the facility.
• Adding people to the
production process.
• Increasing the moti-
vation of production
employees.
• Increasing the machine
production rate.
• Improving the quality of the raw materials and the work in
process.
• Increasing product yield.
Product Mix
An organization’s product mix is the percentage of total output
devoted to each prod-
uct. For example, an agency may sell life, house, and
automobile insurance. How does
.Associated Press/AP Images
An organization’s product mix is the percentage of total
output devoted to each product. Johnson & Johnson is a large
corporation with an expansive product mix including consumer
and pharmaceutical products such as Tylenol and BAND-AIDs.
Problem
Given the following information on maximum production rate
and hours worked for an oven that
cooks pizzas, determine the capacity per week.
Maximum production rate 5 40 pizzas/hour
Number of hours 5 84 hours/week
Overtime 5 0 hours/week
Preventive maintenance 5 0 (because it is performed after
closing)
Equipment failure 5 2% of planned hours
(Unplanned downtime)
Capacity/week 5 (40 pizzas/hour)(84 1 0 2 0 hours/week)(1 2
0.02)
5 3,292.8 pizzas/week
The hours worked per week is reduced from 100% to 98% of the
available hours because of the 2%
downtime anticipated for equipment failure.
von70154_08_c08_223-256.indd 227 2/22/13 3:35 PM
CHAPTER 8Section 8.2 Estimating and Altering Capacity
Problem
Assume that each contact for life insurance takes three hours,
house insurance takes two hours, and
automobile insurance requires one hour. What are the capacities
of an agent who works 40 hours
per week under Mix 1 and Mix 2?
Type Mix 1 Mix 2
Life insurance 0.20 0.40
House insurance 0.30 0.40
Automobile insurance 0.50 0.20
Begin by calculating the production rate for each type of
insurance. These production rates represent
what an agent could do if he or she sold only that type of
insurance.
Production Rate 5 (hours worked per week)/(hour required per
unit)
Production RateLife 5 (40 hrs./wk.)/(3 hrs./unit) 5 13.33
contacts per week
Production RateHouse 5 (40 hrs./wk.)/(2 hrs./unit) 5 20
contacts per week
Production RateAuto 5 (40 hrs./wk.)/(1 hr./unit) 5 40 contacts
per week
Now calculate the capacity for one week if Mix 1 is assumed.
Now, the agent’s time is divided among
the various types according to the mix.
PR 5 (13.3 contacts/wk.)(0.2) 1 (20 contact/wk.)(0.3) 1 (40
contacts/wk.)(0.5)
5 28.67 contacts/wk.
As an exercise, calculate the capacity if Mix 2 is assumed. (The
answer should be 21.33 contacts per
week.) Thus, as the mix shifts away from automobile insurance
to life and house insurance, which
require more time per contact, the capacity of an agent as
measured by the number of contacts
declines. If an average selling price for each type of contract
can be determined, it would be possible to
calculate the capacity of a sales person when generating revenue
on a daily, weekly, or monthly basis.
product mix effect capacity? It may take more of an agent’s
time to sell life insurance
than automobile insurance. Consequently, a shift in demand
toward life insurance poli-
cies reduces an agent’s selling capacity. In theory, the agent
should earn more money sell-
ing life insurance to compensate for the extra time. Otherwise,
the agent will favor house
and auto insurance.
Product mix issues are also relevant in manufacturing. A steel
company produces steel
of many alloys, shapes, and sizes, and these differences require
different production pro-
cesses and times. For example, the sheet steel that forms the
body of an automobile or
an appliance is produced in many widths. A 60-inch piece may
be needed for the hood,
and a 40-inch piece may be needed for a door panel. The mill
that rolls these widths takes
about the same amount of time per foot regardless of width.
Therefore, a mill with a heavy
mix of 40-inch pieces will be able to produce fewer tons per
hour than a mill with many
60-inch pieces. What is the capacity of the processing
equipment, and what are the units of
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CHAPTER 8Section 8.2 Estimating and Altering Capacity
Problem
Assume that a company uses steel that is 1/8-inch thick and has
a density of 0.2833 pounds per cubic
inch. The machines roll steel for 80 hours per week at an
average speed of 30 inches per second. The
company produces both 40- and 60-inch widths of steel and
wants to determine the capacity of each
of the following product mixes.
Size Mix 1 Mix 2
40 inches 80% 50%
60 inches 20% 50%
The company’s production rate can be calculated as follows:
Production rate (PR) 5 (production rate for 40-inch)(mix for 40-
inch) + (production rate for 60-inch)
(mix for 60-inch)
The production rate for the 40-inch size (PR40) can be
determined as follows:
PR40 5 (width)(thickness)(processing rate
inches/hour)(density)
5 (40 in)(1/8 in)(30 in/sec)(3,600 sec/hr)(0.2833 Ibs/cubic in)
5 152,982 Ibs/hr
This would be the production rate if only the 40-inch size were
produced. Calculate the production
rate for the 60-inch size, which is 229,473 pounds per hour.
Now calculate the overall production rate if Mix 1 is assumed.
PR 5 (152,982 Ibs/hr)(0.8) 1 (229,473 lbs/hr)(0.2)
5 122,385.6 lbs/hr 1 45,894.6 lbs/hr
5 168,280.2 Ibs/hr
Convert this figure to tons per hour.
PR 5
168,280.0 lbs/hr
2,000 lbs/ton
5 84.14 tons/hr
Next, convert the production rate into an estimate of capacity
for a week.
Capacity for Mix 1 5 (PR of mix 1)(hours worked)
5 (84.14 tons/hr)(80 hrs/week)
5 6,731.2 tons/week
Calculate the capacity if Mix 2 is assumed, which is 7,649.1
tons per week. Thus, as the mix shifts
from 40-inch to 60-inch steel, the capacity increases. Capacity
is influenced by product mix.
capacity? Steel is measured in tons per hour, but those who
estimate capacity realize that
capacity changes as the mix of steel changes because different
products have different pro-
duction rates. Therefore, product mix must be estimated before
capacity can be estimated.
von70154_08_c08_223-256.indd 229 2/22/13 3:35 PM
CHAPTER 8Section 8.2 Estimating and Altering Capacity
Adding People
Adding people to an operation may increase the maximum
production rate. This increase
occurs when the operation is constrained by the amount of labor
assigned to the job. The
capacity of both service operations and manufacturing
operations is affected by adding or
eliminating people. Organizations that are successful need to be
willing and able to adapt
to change. Part of being able to adapt is having flexibility to
meet changes in demand. The
following example illustrates the flexibility available to an
organization in meeting vary-
ing levels of demand.
Problem
To assemble the frames for 25 rocker/recliner chairs, each
assembler takes his or her work order to
the inventory clerk to pick the parts required to make the chairs.
This takes about 30 minutes. After
returning to the work area, each assembler completes 25 chair
frames in 3 1/2 hours. To increase the
capacity to assemble chair frames, a separate stock picker could
be hired to gather inventory for all
the assemblers. Then each assembler would be able to increase
production by 1/7 because the 30
minutes consumed in stock picking could now be used to
assemble chairs. Therefore, each assembler
could assemble for 4 hours rather than 3 1/2 hours. One stock
picker could serve eight assemblers.
The capacity improvement is calculated here.
Capacity per assembler before stock picker 5 (25 chairs/4
hrs.)(8 hrs./shift)
5 50 chairs/shift
Capacity per assembler after stock picker 5 (25 chairs/3.5
hrs.)(8 hrs./shift)
5 57.14 chairs/shift
% Increase in Capacity 5
New Capacity 2 Old Capacity
Old Capacity
3 100
5
57.14 2 50
50
3 100
5 14.28%
Increasing Motivation
Another way to increase the production rate for an operation
with labor constraints is to
increase motivation. Substantial increases in production rates
can be achieved when work-
ers feel they are an important part of the operation. These
productivity increases do not
require additional labor costs or extra investment in equipment.
The people work harder
to accomplish more when they have an emotional or financial
stake in the organization.
There has been a growing awareness among both management
and labor that communi-
cation and cooperation offer better opportunities for success
than sharp-tongued rheto-
ric, lockouts, and strikes. Evidence of this willingness to
cooperate exists in almost every
industry as organizations fight for market share and workers
fight for jobs in the increas-
ingly global environment. In the automotive industry, labor has
agreed to liberalize work
rules so that productivity can be increased. For example, some
facilities have reduced the
number of job classifications from 100 to only a few, making it
possible to perform simple
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CHAPTER 8Section 8.2 Estimating and Altering Capacity
.iStockphoto/Thinkstock
A pizza oven is an example of a machine constraint. To
increase capacity, new machines must be purchased or existing
machines must be operated more efficiently.
maintenance tasks with one or two employees rather than five or
six. Management has
agreed to profit sharing, which allows the workforce to share in
the benefits of these sim-
plified work rules. Management has also begun to recognize the
talents of its labor force
and has encouraged employee involvement in what used to be
exclusively management
domain: decision making.
Labor is learning to accept efforts to improve automation
because workers see that cutting
costs and enhancing quality can lead to the best kind of job
security, that is, increasing
sales. Shared decision-making has not only caused increased
cooperation, but it has cre-
ated more motivated employees, thus providing the following
benefits to organizations:
• Organizations can tap into talent that already exists in their
workforce.
• Workforces are more receptive to training and new ideas.
• People work harder and smarter.
Increasing Machine Production Rate
In an operation that is machine
constrained, adding people will
not increase capacity. Machine
constrained means that the
equipment is operating for all
the available time at its best
speed, while the operators have
some idle time. For example, if a
pizza oven can bake 40 pies per
hour, and the staff can assemble
60 pies per hour, then the pro-
cess is machine constrained. To
increase capacity, either new
machines should be purchased
or existing machines should be
operated more efficiently.
One possibility that was men-
tioned earlier is to increase pre-
ventive maintenance so that
downtime due to machine fail-
ure will be reduced or eliminated. Another approach is to
develop procedures that more
efficiently utilize existing machines. With continuing process
improvements there is usu-
ally a way to improve a machine’s production rate. A procedure
could be as simple as
finding a faster and better way to load pizzas into the oven or
increasing the heat in the
oven to cook pizzas faster.
Improving Quality
Improving quality can often increase the capacity of operations.
Simply stated, if an oper-
ation produces a product of inferior quality and the product is
rejected, the capacity used
to produce that product is wasted. Poor quality gives the
organization’s customers a bad
von70154_08_c08_223-256.indd 231 2/22/13 3:35 PM
CHAPTER 8Section 8.2 Estimating and Altering Capacity
impression of its product, and also robs operations of needed
capacity. Consider the fol-
lowing case.
Real World Scenarios: Downey Carpet Cleaning
Downey Carpet Cleaning is a family-owned business that cleans
carpets, furniture, and drapery. It
also performs general housekeeping services. For several years,
Downey has offered a carpet service
that thoroughly cleans high-traffic areas at one low price
although some competitors charge extra for
high-traffic areas. Why should Downey charge the lower rate?
According to the owner, who is also
the manager, it is a sound business decision.
A callback to clean a carpet a second time for a dissatisfied
customer takes as much time as making
two regular carpet-cleaning stops because regular stops are
scheduled to avoid as much nonproduc-
tive travel time as possible. Callbacks often require much
longer drives. Each callback robs Downey of
capacity and additional potential revenue. Comparatively, the
extra time and money for the chemi-
cals needed to clean the high-traffic areas right the first time
are small.
The typical carpet-cleaning worker can perform 10 jobs per day
with an average revenue of $43 per
job. One callback for which the company receives no additional
revenue causes Downey to lose $86
in revenue. The company misses out on two regular jobs at $43
per job. Plus, the out-of-pocket costs
for the chemicals to clean the carpet a second time, and the
costs of operating the truck for the
return trip are incurred. In one day, the extra costs of the
chemicals, and the time for the worker to
complete all 10 jobs correctly the first time is less than $20. By
avoiding callbacks, Downey is able to
increase its capacity. In addition to a sound financial policy,
customers also like the policy and fre-
quently have Downey return for other services as well as for
their next carpet cleaning.
Increasing Product Yield
In many operations, the quantity
of output is less than the quan-
tity of input. In other words,
some inputs are lost during the
production of a good or service.
Yield is the ratio of the quantity
of output to the input quantity.
Yield 5
quantity of output
quantity of input
Yield is a function of the charac-
teristics of the process for pro-
ducing the product. For exam-
ple, an oil refinery begins with
one barrel of crude oil, but when
it is finished, there is less than
one barrel of finished product.
Small amounts evaporate, are
spilled, or are otherwise lost in
Comstock Images/Thinkstock
When filming a movie, a director often shoots excess footage
and then edits it, removing scenes to create the final version of
the film. An increase in yield would mean shooting less “extra”
footage.
von70154_08_c08_223-256.indd 232 2/22/13 3:35 PM
CHAPTER 8Section 8.3 Determining System Capacity
Points to Consider
Capacity estimation is a necessary prerequisite to capacity
planning. Without knowledge
of the existing limits on capacity, meaningful capacity planning
or production planning
cannot take place. As the earlier section indicates, capacity is
not a fixed number. Capacity
is a function of management ingenuity. It can be influenced by
good planning, good oper-
ating procedures, effective maintenance programs, and other
management decisions. One
of the important responsibilities of operations managers is to
investigate ways to increase
capacity before investing substantial capital in new facilities.
8.3 Determining System Capacity
Until this point, the discussion of estimating and improving
capacity has focused on only one machine or one operation
within a company. The reality is that operations are a
combination of different machines, equipment, and processes
that make fin-
ished products. To plan effectively, management must know the
capacity of the entire pro-
duction system, not just the capacity of individual parts. System
capacity is the ability of the
organization to produce a sufficient number of goods and
services to meet the demands of
customers. The capacity of an insurance company is not
dependent only on the capacity of
its sales personnel, the capacity of a hospital is not set only by
the number of surgery rooms,
and the capacity of a pizza parlor is not determined only by the
capacity of its ovens.
For convenience, the term department is used when referring to
a portion of the produc-
tion system. To analyze system capacity, it is important to
determine how departments are
related. The two basic arrangements, product layout and process
layout, are discussed in
Chapter 7 and are also used here.
the production process. Some is burned as waste gas. The yield
is the percentage of the
output that is a useful product. A 96% yield means 96 of every
100 barrels of input are
made into useful products. If a refinery’s engineers find
methods to increase the yield by
1%, the refinery will have more product to sell, which increases
effective capacity. Making
movies follows a similar process. A director may shoot eight
hours of film but may edit
the film so that the final movie is two hours or less. The extra
time used to shoot the movie
costs money and prevents using the actors, sound stage,
locations, cameras, and equip-
ment to make other movies. Increasing yield would mean
shooting less than eight hours
of film to make the two-hour movie.
Highlight: Intel and Computer Chips
After Intel introduces new computer chips, it usually
experiences a dramatic improvement in yield
during production. Initially, the number of chips that meet
standards may be only 60%. As the com-
pany learns more about the process, the yield may increase to
90% or more. This 30-point increase in
yield leads to 50% more product to sell. (Previously only 60 of
100 chips could be sold. Now 90 chips,
that is, 30 more, are available.) Thus, capacity is increased.
Because these 30 additional chips add no
production cost, most of the revenue from their sale contributes
directly to the company’s bottom
line. For Intel, moving up the yield curve as quickly as possible
has a substantial impact on meeting
customer demand and on increasing profitability.
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CHAPTER 8Section 8.3 Determining System Capacity
Product Layout
Product-oriented layout is characterized by high demand for the
same or similar prod-
ucts. Examples include refining steel, making paper, and
processing checks in a bank. In
this arrangement, there are few, if any, product variations, and
the layout fits the domi-
nant flow of the product—thus, the name “product layout.”
For example, to make paper, wooden logs are ground and
chemically treated to produce
a watery mixture called pulp. The pulp is pumped to the
papermaking machine where
excess water is gradually squeezed out, leaving a thin sheet of
wet paper. The wet paper
passes through a series of dryers that remove most of the
remaining moisture. The paper
is then rolled into logs that can be 30 feet wide and several feet
in diameter. These huge
logs are later cut into many different widths. Most types of
paper are made using the same
process and follow the same flow (see Figure 8.1).
Figure 8.1: Product-oriented layout of paper mill
Pulp
preparation Papermaking Drying
Process Layout
Process-oriented layout is characterized by the production of
many different products
with the same equipment and low volume of any individual
product. No single prod-
uct has enough volume to support a dedicated set of machines.
Each product has differ-
ent production requirements that place different demands on the
equipment. Examples
include a machine shop that produces specialty automotive parts
for racing engines, a
hospital emergency room, and an automotive repair shop that
offers a wide variety of ser-
vices. In this arrangement, the layout is grouped by similar
machine types because there
is no dominant product flow—thus the name “process layout.”
An automotive center contains the equipment to analyze a
variety of mechanical prob-
lems. As seen in the following list, different customers desire a
different set of services.
The facilities are arranged by process because there is no
dominant flow (see Figure 8.2).
Figure 8.2: Process-oriented layout of an automotive service
center
Liftwork:
Shock absorbers
and exhaust
systems
Batteries
and electrical
Tires
Tune-upsBrakes
Wheel
alignment
von70154_08_c08_223-256.indd 234 2/22/13 3:35 PM
CHAPTER 8Section 8.3 Determining System Capacity
Customer Services Requested
A Tires, shock absorbers, wheel alignment
B Tires, brakes, tune-up
C Brakes, tune-up, exhaust system
D Tires, brakes, shock absorbers, muffler
E Shock absorbers
The capacity of the product-oriented and process-oriented
layouts is determined by ana-
lyzing the capacity of individual departments. Approaches to
determining the capacity of
both layouts are discussed next.
Product Layout and System Capacity
The capacity of a product-oriented system can be visualized as a
series of pipes of varying
capacity, with the smallest diameter or capacity holding back
the entire system. Figure
8.3 shows five pipes (departments or machines) with different
diameters (capacities). The
output from one pipe becomes the input to the next until the
finished product exits pipe
number five. In Figure 8.3, pipe number two cannot handle all
the flow that pipe number
one can deliver and, therefore, it restricts the flow. Because of
pipe number two’s lim-
ited capacity, it restricts the flow from upstream pipes and
starves the downstream pipes.
Pipes three, four, and five can work on only what pipe two can
deliver. This restriction is
called a bottleneck, and it determines the system’s capacity.
Figure 8.3: A bottleneck in the product flow
Flow in Flow out1 2
3
4 5
Analysis of System Capacity
In a product-oriented layout, identifying the bottleneck is
critical. The importance of this
analysis cannot be overstated because the results are used not
only in determining capac-
ity, but also in planning and scheduling production, which are
discussed later in the book.
The approach to determining the bottleneck is illustrated in
Figure 8.4. Start at the begin-
ning of the system, and determine the capacity of the first
operation or department. This
is the system capacity so far. Use this capacity as the input to
the next department in the
sequence. Can that department take the total input from the
previous department and
process it completely? If it can, then the system capacity has
not changed. If it cannot, then
the system capacity is reduced to the capacity of that
department. The procedure contin-
ues until the end of the process is reached and the system
capacity is known.
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CHAPTER 8Section 8.3 Determining System Capacity
Figure 8.4: A sequential approach to bottleneck analysis
STOP: The System
capacity is known
No
No Yes
Yes
Reduce the
system capacity
to the department
capacity
Start
System capacity
does not change
Determine capacity
of first department
(this is the system
capacity so far)
Use the system’s
capacity so far as
the input to the
next department
Can the next
department
process all
the input?
Is there another
department?
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CHAPTER 8Section 8.3 Determining System Capacity
Consider the example shown in Figure 8.5. The basic oxygen
furnace has a maximum rate
of 4,200 tons per day (tpd), while the continuous caster’s rate is
6,000 tpd. According to
the example, the capacity of that part of the system is limited by
the capacity of the slower
department.
Figure 8.5: Simple steel production flow
Basic oxygen
furnace
(4,200 tpd) (6,000 tpd)
Continuous
casting
Determining the Bottleneck
Now consider the entire system for making steel shown in
Figure 8.6. The capacity of a
department is listed below the department name. At two points
in the steel-making pro-
cess, outputs from two departments are inputs to a single
department. The ratio of each
input is listed above the arrow that illustrates the flow. For
example, in the blast furnace,
three pounds of iron ore are mixed with one pound of coke. This
is like a recipe for a cake,
three cups of flour to one cup of sugar, or three parts gin and
one part vermouth for a
martini. The capacity to mix martinis depends on both gin and
vermouth. To supply the
blast furnace with what it needs, iron ore and coke oven output
should be combined in
the correct proportion until at least one of these inputs is
exhausted or until the capacity
of the blast furnace is completely consumed.
Figure 8.6: Steel production flow: a product layout
Iron ore
processing
(4,000 tpd)
Blast
furnace
(3,000 tpd)
3
parts
1 p
ar
t
1 p
ar
t
2
parts
Coke
ovens
(1,000 tpd)
Scrap
handling
(1,500 tpd)
Basic
oxygen
furnace
(4,200 tpd)
Continuous
casting
(6,000 tpd)
Finishing
mill
(5,000 tpd)
What is the system capacity? Follow along in Figure 8.6. Iron
ore processing and coke
ovens can deliver 3,000 and 1,000 tpd, respectively. (Only
3,000 tons can be used from iron
ore processing because of the ratio requirements.) The
combined 4,000 tpd is more than
sufficient for the blast furnace, which can process only 3,000
tpd total. So far, the blast
furnace is holding back production. The blast furnace and scrap
handling, in turn, supply
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CHAPTER 8Section 8.3 Determining System Capacity
3,000 and 1,500 tpd, which is more than adequate for the basic
oxygen furnace capacity of
4,200 tpd. Because the basic oxygen furnace cannot process all
available inputs, the blast
furnace cannot be the bottleneck. The basic oxygen furnace
cannot deliver sufficient out-
put to the remaining departments. Therefore, the basic oxygen
furnace is the bottleneck
for the system, and the capacity of the system is 4,200 tpd.
To calculate the production rates that allow the system to
produce 4,200 tpd, begin at the
bottleneck department in Figure 8.7. Trace the product flow
from the bottleneck to the
beginning and the end of the process. In order to achieve 4,200
tpd of basic oxygen furnace
input, (2/3)(4,200) 5 2,800 tpd comes from the blast furnace and
(1/3)(4,200) 5 1,400 tpd
comes from scrap. The requirements are listed above each
department. The blast furnace
requires (3/4)(2,800) 5 2,100 tpd of iron ore and (1/4)(2,800) 5
700 tpd of coke. Moving
from the basic oxygen furnace to the end of the process is
simpler because there are no
pairs of departments. The requirement for those departments is
4,200 tpd. When making
steel, each operation in this process would suffer a yield loss,
which is not considered here
in order to simplify discussion.
Figure 8.7: Determining system capacity
Iron ore
processing
(4,000 tpd)
Blast
furnace
(3,000 tpd)**
3
parts
1 p
ar
t
1 p
ar
t
2
parts
Coke
ovens
(1,000 tpd)
*Numbers above each department indicate the production rate
required from that department to achieve a
system capacity of 4,200 tpd.
**Numbers below each department indicated the individual
department’s capacity.
Scrap
handling
(1,500 tpd)
Basic
oxygen
furnace
(4,200 tpd)
Continuous
casting
(6,000 tpd)
Finishing
mill
(5,000 tpd)
(2,100 tpd) (2,800 tpd)*
(700 tpd) (1,400 tpd)
(4,200 tpd) (4,200 tpd) (4,200 tpd)
Rounding Out System Capacity
It is also important to know which department, machine, or step
in the process restricts
the system’s capacity. An operations manager may be charged
with increasing the system’s
capacity. If he or she tries to do so by increasing blast furnace
capacity, there will be no
increase in the system’s capacity. This organization could spend
hundreds of millions of
dollars on a new blast furnace without producing one additional
ton of steel because the
bottleneck constricts the flow, and the bottleneck is the basic
oxygen furnace.
The system capacity can be increased by applying resources to
the bottleneck depart-
ment. This approach is called rounding out capacity because
resources are applied to the
bottleneck to bring it into balance with other parts
(departments) in the system. Rounding
out capacity has a limit, however. Simply stated, if the
operations manager doubles basic
oxygen furnace capacity because it is the bottleneck, the
system’s capacity will not double.
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CHAPTER 8Section 8.3 Determining System Capacity
There is not enough capacity in other departments to absorb that
large an increase. As a
result of doubling basic oxygen furnace capacity, the bottleneck
simply jumps to another
department. Managers should understand this issue and
carefully analyze the effect on
the system when departmental capacity is increased.
An important and useful piece of information is how far the
system’s capacity can be
increased before another bottleneck appears. To answer this
question, examine the
requirements listed above each department in Figure 8.7. A
quick review shows that scrap
handling and the blast furnace will be bottlenecks as basic
oxygen furnace capacity is
increased. With a cushion of 100 tons per day in scrap handling,
the capacity of the system
could increase by only 300 tpd. (Remember that one part scrap
and two parts hot metal
from the blast furnace are required.) The scrap handling and
blast furnace departments
have insufficient capacity to handle an increase of more than
300 tpd in basic oxygen fur-
nace capacity.
Another way of thinking about it is to simply set the capacity of
the present bottleneck to
infinity and rework the problem. The results are shown in
Figure 8.8. The system’s capac-
ity is 4,500 tpd. There are two bottlenecks: blast furnace and
scrap handling. Remember,
the basic oxygen furnace capacity was set to infinity. It actually
does not need to be infi-
nitely large, but it must be 4,500 tpd or more if the system
capacity is 4,500 tpd.
The analysis of system capacity and associated bottlenecks is
extremely important to
determine capacity. Rational decisions about capacity can be
made only if these concepts
are fully understood.
Figure 8.8: Rounding out capacity
Iron ore
processing
(4,000 tpd)
Blast
furnace
(3,000 tpd)**
3
parts
1 p
ar
t
1 p
ar
t
2
parts
Coke
ovens
(1,000 tpd)
*Numbers above each department indicate the production rate
required from that department to achieve a
system capacity of 4,500 tpd.
**Numbers below each department indicate the individual
department’s capacity.
Scrap
handling
(1,500 tpd)
Basic
oxygen
furnace
(4,200 tpd)
Continuous
casting
(6,000 tpd)
Finishing
mill
(5,000 tpd)
(2,250 tpd) (3,000 tpd)*
(750 tpd) (1,500 tpd)
(4,500 tpd) (4,500 tpd) (4,500 tpd)
Process Layout and System Capacity
The process-oriented layout is characterized as a multiple-
product facility with low vol-
ume per product. The products are different from one another
and usually require differ-
ent methods and procedures in production. There is no dominant
product flow to guide
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CHAPTER 8Section 8.3 Determining System Capacity
the arrangement of departments as there is in the paper or steel
industry, so similar opera-
tions are grouped together. The process-oriented layout does not
have enough volume in
any one product to require dedicated specialized production
facilities.
A medical center is an example of a process-oriented operation.
Patients are screened at
the reception desk to determine the nature and seriousness of
their injuries, and then pro-
ceed to a waiting room to be called by a nurse or physician.
After an initial examination,
the method of treatment for each patient is determined. Each
treatment could be different
and is based on the patient’s individual needs. A patient in an
automobile accident may
be scheduled for X-rays, orthopedic surgery, and application of
a cast. The next patient
may have heart problems. Each follows a different path through
the medical center. The
equipment should be flexible enough to handle a wide range of
needs. For example, X-ray
machines can provide images of legs, feet, hands, and other
areas of the body.
Analysis of System Capacity
Determining system capacity in a process-oriented layout is
more complex than doing so
in a product-oriented layout. In the process layout, each product
does not follow the same
path through the system. The functions and machines are
grouped into departments, and
different products follow different paths. The layout shown in
Figure 8.9 has six depart-
ments and four different patterns of treatment or products. The
departments’ capacities
are given in patients per week (ppw) and are based on average
time per treatment.
Figure 8.9: A process layout of a medical center
Patient type Department
Waiting
area
(1)
(1,000 ppw)
X-ray
(2)
(400 ppw)
Orthopedic
care
(3)
(250 ppw)
Cardiology
(4)
(500 ppw)
Neurology
(5)
(300 ppw)
Departments
Intensive
care
(6)
(600 ppw)
A
B
C
D
1, 2, 3
1, 4, 6
1, 2, 5
1, 2, 6
System capacity is not merely a search for the minimum
department capacity because
there is no dominant flow. The capacity of the system is a
function of the jobs presented.
If the medical center only processed one type of patient, the
system capacity could be eas-
ily and accurately estimated. If all the patients arriving at the
medical center are type-A
patients (those needing orthopedic care), the capacity of the
system will be 250 patients
per week. In the very specific and highly specialized case, the
analysis is like that of a
product layout. This is completed by finding the minimum
capacity for departments 1,
2, and 3. If all patients are of type B, then the capacity will be
500 patients per week. For
patients of types C and D, the system capacities are 300 and 400
patients per week, respec-
tively. The following table shows the various capacities if all of
the patients in one week
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CHAPTER 8Section 8.3 Determining System Capacity
were a single type. This is not likely to occur, so the system’s
capacity is a function of the
job types presented. This is called the product mix or, in this
case, patient mix.
Mix System’s Capacity Bottleneck Department
100% A patients 250 ppw Orthopedic care
100% B patients 500 ppw Cardiology
100% C patients 300 ppw Neurology
100% D patients 400 ppw X-ray
Product Mix and Capacity in a Process Layout
What would the system capacity be if the medical center
processed all four types during
the same week? To simplify the problem, assume that only type
A patients arrive on Mon-
day and Tuesday, type B on Wednesday and Thursday, type C
on Friday and Saturday,
and type D on Sunday. The system capacity per week for that
mix would be calculated as
follows:
System Capacity 5
2
7
(250 ppw) 1
2
7
(500 ppw) 1
2
7
(300 ppw) 1
1
7
(400 ppw)
5 357 ppw
The fractions in the preceding equation are the patient mix. A
different assumption con-
cerning the number of days per week assigned to each patient
type would cause a differ-
ent product mix and would result in a different system capacity.
In reality, not all orthopedic care patients (type A) will arrive
on Monday and Tuesday.
The method illustrated in the prior calculation is likely to
underestimate the system capac-
ity because we have assumed that no patient other than an
orthopedic patient arrives on
Monday or Tuesday. However, the system does have the
capacity to process type B, C, and
D patients on Monday and Tuesday in addition to (2/7) (250
ppw) 5 71.4 type A patients.
How can managers of a medical center get an accurate estimate
of system capacity and
determine which department is the bottleneck? An often-used
technique for estimating
capacity in a process layout is simulation.
In this approach, an estimate of product mix (patient mix) is
used to randomly gener-
ate arriving patients. The time to service each patient is based
on historical data, and is
also randomly generated. The simulation is run for a long period
of time, and statistics
about the number of patients served and the use of each
department are kept. Utilization
data should be kept regularly for equipment in a process layout
so that bottlenecks can
be anticipated and corrective action taken. Management can
change the mix of arriving
patients in the simulation to determine how the system capacity
and bottleneck depart-
ment change. A different mix places different demands on the
resources. Managers should
plan for the present mix of patients and the associated
bottleneck, as well as for the mix of
possibilities that the future holds.
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CHAPTER 8Section 8.3 Determining System Capacity
Capacity Decisions for Service Operations
Most of the concepts discussed in this text apply to producers of
services and produc-
ers of goods. It is important to note, however, that service
operations are different from
manufacturing operations in some aspects. First, services are
direct and cannot be inven-
toried. Whereas the consumption of goods can be delayed, the
general rule is that services
are produced and consumed simultaneously. This means that
service organizations must
(1) build enough capacity to meet maximum demand, (2)
manage demand so that people
will use the services at off-peak times (allowing long waiting
lines to occur is one way to
manage demand, albeit a poor way, and offering monetary
incentives to use the service at
off peak times is another way), or (3) choose not to satisfy all
the demand.
Each of these options has a cost.
Building sufficient capacity to
meet maximum demand can
mean that a significant portion
of the capacity is used infre-
quently. This can mean large
capital expenditures with lim-
ited return on investment. Peo-
ple who must wait in long lines
for service may become dissat-
isfied, and that will result in a
loss of business. For example, a
hospital that has long lines in its
emergency room is likely to lose
business to another emergency
room that is better organized
and has a shorter wait time.
Choosing to ignore demand
means a loss of customers that
may have both short- and long-
term effects.
Second, there is often a high degree of producer-consumer
interaction during the produc-
tion of a service. This interaction frequently introduces a
significant amount of uncertainty
about processing time, and processing time is a determinant of
capacity. For example, a
person waiting in line at a bank may have one or many
transactions to perform and may
be skilled or unskilled at communicating his or her needs. This
variation makes it more
difficult to estimate the capacity required to meet customer
demands.
Third, many services are not transported to the customer, so the
customer must come to
the service delivery system. This has important implications for
the location decision. It
also means that capacity decisions should result in adequate
space for the customer in the
service delivery system. For example, many restaurants use a
generous bar area to deal
with excess demand in the dining area.
.Klaus Lahnstein/Getty Images
Services cannot be inventoried and are typically produced and
consumed simultaneously. Consequently, service organizations
must effectively manage demand. Although it is not the most
efficient method, allowing long waiting lines to occur is one
way to manage demand.
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CHAPTER 8Section 8.3 Determining System Capacity
Service Operations and System Capacity
Despite differences, determining system capacity and finding
where a bottleneck occurs
applies to service as well as manufacturing operations. The
principles are the same, but
in some cases the application is different. In the following case,
managers of an upscale
restaurant chain are attempting to determine the capacity of
their restaurant.
Problem
The flow of people through the restaurant follows this sequence.
People arrive at the restaurant and
park their cars. According to the records that the restaurant
keeps, 20% of the guests spend time in
the bar. The remaining 80% of the arrivals go directly to the
dining area.
According to standards that management has developed over the
years, each dinner served per
hour requires approximately four square feet of kitchen space.
Listed below are the resources of the
restaurant:
Department/Area Capacity/Size
Parking area 100 spaces
Bar area 80 seats
Dining area 200 seats
Cooking area 600 square feet
On average, 2.2 people arrive per car, only 80% of the seats in
the bar are normally available because
tables for four are sometimes occupied by two or three people,
and only 85% of the dining area seats
are normally available for the same reason. The average stay is
90 minutes. Everyone in the dining
area orders a meal, and 40% of the people in the bar area order
a meal. What is the capacity of the
system? To begin, the capacity of each area can be calculated in
terms of persons served per hour.
Department/Area Capacity/Size
Parking area (100 spaces)(2.2 people/car)/(1.5 hrs.) 5 147
people/hr.
Bar area (80 seats) (0.8)/(1.5 hrs.) 5 43 people/hr.
Dining area (200 seats)(0.85)/(1.5 hrs.) 5 113 people/hr.
Cooking area (600 square feet)/(4 square feet/meal) 5 150
people/hr.
If every customer spent time both in the bar and in the dining
area, the system capacity would be
easy to determine because each customer would place demands
on each area. This would make the
restaurant product layout similar to the steel industry, and the
system capacity would be the smallest
of the four department’s capacities. However, only a portion of
the guests use both the bar and the
dining areas. (continued)
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CHAPTER 8Section 8.3 Determining System Capacity
Problem (continued)
To calculate the capacity of the system and determine the
bottleneck department in this case, the
approach illustrated in the medical center example mentioned
earlier could be used. That method
requires tracking two different flows: one involving the dining
area and a second following the bar
area. The process begins by selecting a level of demand that the
restaurant can satisfy. If it cannot,
the demand level is decreased, and another attempt is made. If it
can, the demand level is increased.
This trial and error method can quickly lead to the capacity if
care is used in selecting the demand
targets. This trial and error approach could also be used to solve
problems, such as the steel industry
problem described earlier. Inspecting the department capacities
indicates that the system’s capacity
cannot exceed 147 people per hour because that is the capacity
of the parking lot, and the assump-
tion of this model is that all patrons drive. It is also clear that
the capacity of the system is at least 100
because all of the department capacities are at least 100, except
for the bar area which only serves
20% of the customers.
Therefore, the trial and error process begins by setting the
arrival rate (demand) equal to 100 people
per hour. This means that during each hour 100 people use the
parking lot, 20 people use the bar,
80 people use the dining area, and 88 people order a meal.
People in the bar that order a meal eat
the meal in the bar. None of the individual departments is at
capacity, so the analysis continues. The
results are shown in the following table:
Set Demand Equal To
Department
Area
Capacity
(People/
Hr.)
100
(People/
Hr.)
125
(People/
Hr.)
147
(People/
Hr.)
113/0.8 5 141
(People/Hr.)
Parking area 147 100 125 147 141
Bar area 43 20 25 29 28
Dining area 113 80 100 118 113
Cooking area 150 88 110 130 124
Next, what happens if demand is set at 125 people/hour?
Assume again that none of the departments
is at capacity. As a result, the system capacity must be between
125 and 147 people/hour because
the parking lot can hold no more than 147. With demand set at
147 people/hour, the parking lot is
at capacity, but demand in the dining area exceeds capacity. Bar
demand is equal to (147) (0.2) 5 29.
Dining demand is equal to (147)(0.8) 5 118. Cooking demand is
equal to 118 1 (29)(0.4) 5 130. At
this point, the bottleneck is the dining area, but the system
capacity is not clear because only some
use the dining room. To determine the system capacity, divide
the capacity of the dining area by 0.8,
which is the percentage of customers that use the dining area.
This calculation yields the system
capacity, which is 141 people per hour. If the system capacity is
set equal to demand and the depart-
ment demands are calculated again, the excess capacities in the
non-bottleneck departments can be
identified. There is considerable excess capacity in the cooking
area and in the bar, but the parking
lot is near capacity. Expansion plans, if justified by demand,
should be aimed at the dining area and
the parking lot.
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CHAPTER 8Section 8.4 Making Capacity Decisions for
Competitive Advantage
8.4 Making Capacity Decisions for Competitive Advantage
Informed capacity decisions can be made only when
management: (1) knows the ability of its present resources,
which is achieved by accurately estimating system capacity; (2)
knows the bottlenecks and what is causing them; and (3) has an
estimate of future
demand. The first two topics have been the focus of the chapter
to this point. Estimating
demand is discussed in the chapter on forecasting. Now, this
information can be used to
discuss the capacity decisions listed below:
• When to add capacity.
• How much capacity to add.
• Where to add capacity.
• What type of capacity to add.
When to Add Capacity
Many managers argue that determining how much capacity an
organization requires
should not be difficult. The real problem is obtaining an
accurate forecast of demand.
These managers believe that once an estimate of demand is
obtained, it is simply a matter
of setting capacity to meet demand. With knowledge of the
point at which demand equals
capacity, and an estimate of how long it takes to build
additional capacity, management
subtracts the lead time to determine when to begin construction.
In Figure 8.10, capacity
is exceeded two years in the future. If it takes 18 months to add
capacity, then manage-
ment should begin construction six months from today;
however, the answer is not that
simple. To avoid compounding the question of when to add
capacity with forecasting
error, assume that forecasts are guaranteed to be accurate.
As management considers the timing decision in Figure 8.10, it
should ask the following
question: should the capacity be added by the end of the second
year? The answer is prob-
ably no, for several sound reasons. Management could simply
choose not to satisfy all of
the demand during the third year. The forecast shows that the
significant and long-term
increase does not take place until the end of year five. It is
possible that the organization
has no long-term interest in the market and would choose to
allocate resources to other
product. On the other hand, failing to fully satisfy demand may
not be consistent with a
company policy of building market share. If the sales force is
asked to increase market
share, but operations cannot deliver the product, then long-term
damage to the firm’s
reputation could result.
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CHAPTER 8Section 8.4 Making Capacity Decisions for
Competitive Advantage
Figure 8.10: Capacity versus demand
Today 1
Present
capacity
Forecasted
demand
Construction
lead time
2 3 4 5 6
Time (years)
N
u
m
b
e
r
o
f
u
n
it
s
If ignoring the excess demand in the third year is not
acceptable, then management must
find a way to meet that demand. One possibility is to set the
production rate higher than
demand during the first and second years so that sufficient
inventory is created to satisfy
demand in the third year. Figure 8.11 illustrates this point.
Obviously, this solution is lim-
ited to goods production because services have no finished
goods inventory.
Figure 8.11: Capacity, demand, and production rate
Today 1 2 3 4 5 6
Time (years)
N
u
m
b
e
r
o
f
u
n
it
s
Production
plan
Forecasted
demandInventory
build-up
Production
plan
Present
capacity
Inventory
draw-down
von70154_08_c08_223-256.indd 246 2/22/13 3:35 PM
CHAPTER 8Section 8.4 Making Capacity Decisions for
Competitive Advantage
Other methods of dealing with the capacity shortfall in the third
year can be under-
stood by recalling the earlier sections on capacity estimation.
Capacity is a variable that
is subject to change through management innovation. If the
operation runs two shifts
five days per week, then overtime or another shift could be
considered. Better schedul-
ing, improved operating procedures, or improved quality of raw
materials can increase
capacity. Another important concept to remember is system
level capacity. To increase the
capacity of a system, it is necessary to increase the capacity of
only the bottleneck opera-
tion. It may be possible to buy production capacity to
supplement the bottleneck opera-
tion and increase overall capacity.
How Much Capacity to Add
If additional capacity is built, how much should be added?
Again, assuming that the fore-
casted demand is accurate, consider the example in Figure 8.12
when deciding how much
capacity to add. In this example, the decision concerning when
to add capacity has been
made. Construction begins in the middle of the third year, and
the new capacity will come
on line at the end of the fourth year.
Figure 8.12: How much capacity to add
Today 1
Option 2
Option 1
Forecasted
demand
Construction
lead time
Additional
capacity
on line
Today’s
capacity
2 3 4 5 6
Time (years)
N
u
m
b
e
r
o
f
u
n
it
s
Option 1 adds only enough capacity to handle the demand in the
early part of the fifth
year. Option 2 adds enough capacity to handle the increase in
the sixth year. Whether
Option 1 or Option 2 is selected, the company should
understand the importance of focus-
ing on the bottleneck to increase system capacity. The financial
versus operating tradeoffs
of these options are summarized here.
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CHAPTER 8Chapter Summary
Advantages of Option 1
1. Limits short-term investment and risk. Changes in technology
will not find the
organization with as much capital tied up in outdated
technology.
2. Limits unused capacity for which no return on investment is
provided.
Advantages of Option 2
1. May reduce long-term investment. Building capacity at one
time instead of mul-
tiple times can help save on total construction costs.
2. May reduce inflationary effects on construction costs by
building now.
The primary questions associated with Option 2 are:
• How long will it be before the capacity is needed?
• How likely is it that the forecasted need will occur?
• How stable is the technology?
A firm producing products in an industry where the product or
process technology is
likely to change does not want to build plants that limit its long-
term ability to compete.
The decisions about when to add capacity and how much
capacity to add are critical capac-
ity decisions that are complicated by the uncertainty in the
estimates of future demand.
Decision theory, which uses statistics and probability theory,
can be used to model these
decisions when forecasts are uncertain.
Where to Add Capacity
The decision on where to add capacity (usually called the
location decision) is complex
and involves many factors. It is strategically important because
it commits significant
resources to a location. Great care and consideration should be
given to the long-term
implications. The location decision is addressed in another
chapter.
What Type of Capacity to Add
In addition to determining how much capacity to add and when
to add it, management
should consider what type of capacity to add. Type of capacity
can be separated into
a technological or engineering question and an economy of
scale or business question.
These topics are the focus of Chapter 7.
Chapter Summary
• Capacity is a measure of an organization’s ability to provide
customers with
demanded services and goods in the amount requested and in a
timely manner.
• Capacity decisions are critical to an organization’s success
because they commit
significant resources to assets that usually cannot be changed
easily or economi-
cally. Capacity decisions should be based on the best estimate
of the future and
should be made so that as much flexibility as possible is
retained.
• Capacity should also be obtained in the proper amount. Too
much capacity
means that money has been invested in resources that are not
really needed. Too
little means that potential sales and market share are lost.
von70154_08_c08_223-256.indd 248 2/22/13 3:35 PM
CHAPTER 8Case Study
• Estimating an organization’s capacity is not easy because
capacity is affected by
management decisions regarding changing the number of hours
worked, chang-
ing the product mix, adding staff, improving worker motivation,
improving
machine capabilities, enhancing quality, and increasing product
yield.
• Machine and departmental capacities are needed to determine
the capacity of the
system. The capacity of a system can only be as much as its
slowest department,
which is the bottleneck.
• An increase in system capacity can be achieved by increasing
capacity in the
bottleneck department. This is called rounding out capacity.
• Capacity decisions include the following: when to add
capacity, how much
capacity to add, where to add capacity, what type of capacity to
add, and when
to reduce capacity.
Case Study
Beck Manufacturing
Al Beck, president of Beck manufacturing, wants to determine
the capacity of his facil-
ity, which produces steering gears for auto manufacturers. He
has asked you to sort
through the data and determine the capacity of the system and
how that capacity may be
increased. The operation is a product layout that produces large
numbers of nearly iden-
tical products. The process includes milling, grinding, boring,
drilling, and assembling,
in that order. Each finished product requires one operation on
each type of machine. For
example, each finished part is processed on one of the five
milling machines, one of the
seven grinding machines, etc.
The facility runs two 8-hour shifts per day, with a third shift for
maintenance. The indus-
trial engineering department has provided you with the
following data on present opera-
tions. In addition, you have been told that assembly operations,
while not unlimited, can
be easily changed to meet the need.
Operation
Number of
Machines
Run Time per
Piece (min.) % Reject Rate
Milling 5 2 3
Grinding 7 3 5
Boring 3 1 2
Drilling 6 2.5 7
1. Calculate the capacity of each machine center and the
capacity of the system.
2. If Beck wants to expand capacity, where should he focus the
company’s efforts?
How much extra capacity can he get without causing another
operation to
become the bottleneck?
3. How may Mr. Beck expand capacity without purchasing new
equipment? Be
specific.
von70154_08_c08_223-256.indd 249 2/22/13 3:35 PM
CHAPTER 8Problems
Discussion Questions
1. What is capacity, and why is it important?
2. Why is it difficult to estimate capacity? Is capacity a
constant? Why or why not?
3. Should an organization always attempt to match its capacity
to its estimate of
demand? Why or why not?
4. Capacity decisions are strategically important. Agree or
disagree with the state-
ment, and support your position.
5. What factors influence the capacity of an organization? List
three factors, and
explain how they influence capacity.
6. Explain in detail the difference between departmental and
system capacity.
7. What are the principles for determining system capacity in
the product layout?
8. What are the principles for determining system capacity in
the process layout?
9. How does a change in the product mix effect system
capacity?
10. What are the important decisions for capacity planners?
11. What are the key factors that determine when to add
capacity?
12. What are the key factors that determine how much capacity
to add?
13. Why would an organization want to reduce its capacity?
Problems
1. Determine the system capacity and the bottleneck department
in the following
line flow process. The capacities in pieces per hour for
departments A, B, and C
are 5,250, 4,650, and 5,300, respectively.
A B C
2. Determine the system capacity and the bottleneck department
in the following
line flow process. The capacities in tons per hour for
departments A, B, C, and D
are 2,200, 1,100, 1,600, and 2,500, respectively. For each ton of
output from depart-
ment B that is input to department D, two tons from department
C must be
added.
A B
C
D
3. Answer the following questions using the information in
Problem 2:
a. How much can the system capacity be increased by adding
capacity to the
bottleneck department?
b. How much capacity must be added to the bottleneck
department to achieve
this increase in system capacity?
c. Which department is the new bottleneck department?
4. Examine the following line flow process:
a. Determine the system capacity.
b. Determine which department is the bottleneck.
c. Determine how much capacity can be gained by adding
capacity to the
bottleneck.
von70154_08_c08_223-256.indd 250 2/22/13 3:35 PM
CHAPTER 8Problems
d. Explain your answers to a, b, and c.
e. How would the analysis change if department A achieved an
85% yield?
Recalculate a, b, and c.
DA B C
Department
Capacity
(Parts/Hour)
A 120
B 110
C 140
D 160
5. Macro Galvanizing coats sheet steel for the appliance
industry in its plant in Gary,
Indiana. Macro has one production line that can coat steel up to
72 inches wide. The
production line runs 80 hours per week. Regardless of width,
the steel is processed
at 200 feet per minute. Macro processes only the three widths of
steel listed here:
Width (in.) Product Mix
36 0.30
50 0.25
60 0.45
a. What is the capacity of Macro’s production line in square feet
of steel coated
per week?
b. What is the capacity in square feet per week if the mix
changes to 0.40, 0.40,
and 0.20, respectively?
c. What is the capacity in square feet per week if the mix does
not change and
Macro decides to use 10% overtime per week?
d. What is the capacity in square feet per week if the mix does
not change, there
is no overtime, and Macro experiences 5% unplanned
downtime?
e. What is the capacity in square feet per week if the mix does
not change, there
is no overtime, and Macro’s engineers find a way to run the line
at 220 feet
per minute?
6. Monique Food Processing Company produces light snacks
that can be heated in
a microwave. The following steps are included in the process:
Steps
Description
Capacity
(Units/Hour)
1 Prepare food 200
2 Measure and place in
plastic pouch
175
3 Prepare cardboard box 200
4 Insert pouch into box 300
5 Shrink-wrap box 200
von70154_08_c08_223-256.indd 251 2/22/13 3:35 PM
CHAPTER 8Problems
a. What is the system capacity, and which is the bottleneck
department?
b. How much slack (unused capacity) is available in other
departments?
c. How much system capacity can be gained by adding capacity
to the
bottleneck?
7. Botkins Bicycle Shop manufactures 10-speed bikes. The
assembly process
requires the components listed below. Botkins can assemble
approximately 350
bicycles per week without overtime. The labor contract allows
Botkins’ manage-
ment to add up to 10% overtime to assembly operations.
Component
Quantity per
Finished Bicycle
Source
Capacity
(Units/Week)
Wheels 2 Internal 750
Tires 2 External 900
Frame 1 Internal 400
Brakes 2 External 950
Handle bars 1 Internal 600
Pedal and
drive sprocket
subassembly
1 Internal 500
a. What is the capacity of the facility without using overtime?
Which is the
bottleneck department(s)?
b. What is the capacity of the facility with overtime? Which is
the bottleneck
department(s)?
c. What increases in department capacity would be required to
increase system
capacity to 450 units per week?
8. The Mills Brothers Cereal Company makes a wheat and raisin
cereal on one of
its production lines. One pound of raisins is required for four
pounds of wheat
flakes in order to make five pounds of cereal. The following
steps are included in
the process:
Step
Description
Capacity
(Pounds/Hour)
A Crush wheat 1,400
B Form flakes 1,200
C Toast flakes 1,600
D Coat raisins 250
E Mix cereal and raisins 1,200
F Put mixture in box 1,100
G Place boxes in shipping
containers
1,400
von70154_08_c08_223-256.indd 252 2/22/13 3:35 PM
CHAPTER 8Problems
F GEA B C
D
a. What is the system capacity, and which is the bottleneck
department?
b. How much slack (unused capacity) is available in other
departments?
c. How much system capacity can be gained by adding capacity
to the
bottleneck?
9. White Chemical has a problem with its operations. Analyze
the following flow
process:
GEA B D
FC
1
Pa
rt
1
Pa
rt
1
Pa
rt
2
Pa
rts
Department
Capacity
(Gallons/hour)
A 100
B 60
C 50
D 120
E 100
F 40
G 140
The ratio for mixing the outputs from departments E and F is
2:1. This means
that getting three gallons out of G requires mixing two gallons
of E’s output and
one gallon of F’s output. The ratio for departments B and C is
1:1.
a. What is the system’s capacity?
b. Which department(s) is the bottleneck?
c. How much slack (unused capacity) is available in the other
departments?
d. How much system capacity can be gained by adding capacity
to the
bottleneck?
von70154_08_c08_223-256.indd 253 2/22/13 3:35 PM
CHAPTER 8Problems
10. Platinum Refining and Chemical Company is examining its
pesticide plant. At
this time, the company is unable to satisfy customer demand for
a new insect
spray. You have been asked to spend some time at the facility to
determine how
output can be increased. Analyze the following line flow
process:
J
I
HFA B E
GC
D
Department
Capacity
(Gallons/Hour)
A 300
B 250
C 200
D 250
E 600
F 550
G 600
H 1,100
I 300
J 1,200
The ratio for mixing the outputs from departments B, C, and D
is 2:2:1, respec-
tively. This means that making five gallons for department E
requires mixing two
gallons of B’s output, two gallons of C’s output, and one gallon
of D’s output. The
ratio for departments F and G is 1:1. The ratio for departments
H and I is 4:1.
a. What is the system capacity, and which is the bottleneck
department?
b. How much slack (unused capacity) is available in other
departments?
c. How much system capacity can be gained by adding capacity
to the
bottleneck?
11. Bauer Electric makes integrated circuits for the computer
industry. Currently, the
process for making circuits yields 80% good parts. The facility
has the capacity to
produce 2,000,000 units per year, including both good and bad
units. The vari-
able cost is $2.00 per unit. The annual fixed cost is
$10,000,000. The selling price is
$12.00 per unit. Currently, the market demand exceeds the units
available.
a. If Bauer Electric works at capacity, what is the total amount
of units produced
in one year that meet specifications?
von70154_08_c08_223-256.indd 254 2/22/13 3:35 PM
CHAPTER 8Key Terms
bottleneck The department, workstation,
or operation that limits the flow of prod-
uct through the production system. This
department restricts the flow of product
from upstream departments and starves
downstream departments.
capacity A measure of the organiza-
tion’s ability to provide customers with
the demanded services or goods, in the
amount requested and in a timely man-
ner. Capacity is the maximum rate of
production.
machine constrained The machine is
holding back production. The equipment
is operating for all the available time at its
best speed while the operator has some
idle time.
product mix The percent of total demand
or output that is devoted to each product.
rounding out capacity Adding capac-
ity to a bottleneck department to increase
the capacity of a system by bringing the
capacity of the bottleneck department into
balance with the other departments.
system capacity The ability of the organi-
zation to produce a sufficient number of
goods and services to meet the demands of
customers.
yield The ratio of the quantity of output to
the quantity of input.
b. If the yield can be increased from 80% to 90%, how much
does the unit cost
for a circuit change?
c. If the yield can be increased from 80% to 90% and demand is
unlimited, how
much will profits increase?
d. If the yield can be increased from 80% to 90% and demand is
1,600,000 units,
what is the impact on profits?
e. Why is there such a difference between the answers to c and
d?
12. McComas Educational Service provides training to pass the
bar exam. The com-
pany offers a money back guarantee if a student does not pass
on the first try.
Currently, 60% pass the exam. The company is working on
some computer-based
training that could increase the pass rate to 80%. The cost of the
service is $800,
and 10,000 first-time students enroll in the course each year.
Demand has grown
at about 5% per year. The variable cost is only $100, and the
annual fixed cost is
$2,000,000. For the current cost structure, capacity is 12,000
students per year.
a. Currently, how many first-time students pass the test each
year?
b. If the pass rate increases from 60% to 80%, how much will
profits increase?
c. Should McComas consider reducing capacity?
Key Terms
von70154_08_c08_223-256.indd 255 2/22/13 3:35 PM
von70154_08_c08_223-256.indd 256 2/22/13 3:35 PM
NSG 5000 Advanced Nurse Role
Assignment 3: Proposal for Change Paper
Purposes:
· Demonstrate understanding of the role the graduate level nurse
has as leader in creating change in population health.
Objectives:
Course:
2. Apply leadership, change, and decision making theories to
improve health delivery outcomes.
3. Examine influences that affect population health.
4. Employ communication and collaboration strategies to
improve patient and population health outcomes.
The purpose of writing this proposal for change paper is to
explore various strategies for change related to the topic of
interest issue in assignment 2, and describe the change you
propose, as well as the rationale for this change. This paper will
build on assignment 2.
Directions:
1. Write a 4-5 page paper, not including title and reference
pages:
a. Using the literature review findings you identified in
Assignment 2, describe the change you propose and the
rationale for this change. Use a change model (SEE BELOW) to
guide the development of the plan. Be specific in describing the
plan for change; why it is necessary, the elements of the plan,
and its effect on population health. The rationale should be
supported with information from peer-reviewed journals within
the last 5 years.
b. The advanced nurse leader will be directing this change.
Describe HOW you will enact this change. Detail which specific
communication and collaboration strategies will be used to
enact the change. Use the literature to support the strategies;
again find at least 2 peer-reviewed sources.
c. Describe the possible advantages and disadvantages of the
change; include the effect the change will have on population
health. Support the perceived impact of the change with peer-
reviewed sources.
1. The paper should be typed in 12 point font, double-spaced, in
Microsoft Word, with a title page and reference page. APA
format must be used. Please use headings to organize your
paper. Please use headings to organize your paper. Review the
PowerPoint presentations on Scholarly writing and APA in week
1.
2. NOTE: any pages that exceed the page limit will not be read.
INCORPORATE ONE OF THESE THEORIES IN YOUR PLAN
FOR CHANGE ASSIGNMENT
Implementing Change
Heraclitus said “the only thing that is constant is change.”
Change is a part of life, whether it is in your personal of
professional life. As you become a nurse in an advanced
practice role, you will be seen as a leader, and that include
leading change. In order to understand how facilitate change, it
is important to review some of the characteristics of change
agents. Change agents don’t want to maintain the status quo, but
see themselves a leader of change. Change agents are
courageous, they are able to manage uncertainty, complex and
or ambiguous situations. They learn from their mistakes and
have a vision for the future. (Daft, 2015).
Leaders recognize that they need to develop a plan in order to
implement change and that change goes through different
stages. In order to develop a better understanding of change.
There are several change theories or models which can be
applied to change. Lasting change does not occur overnight.
Here are several theories or models for change. There are
numerous resources online which can provide more in depth
information about each one. When completing Assignment 3,
incorporate one of these in your plan for change.
· Reddin’s Theory
· Lewin’s theory
· Roger’s Theory
· Lippitt’s theory
· McKinsey’ Sever Step Model
· Kotter’s Eight Step Change Model
“Those who cannot change their minds cannot change
anything.” George Bernard Shaw
Reference
Daft, R.L. (2015). The leadership experience. Stamford, CT:
Cengage Learning.
NSG 5000 Advanced Nurse Role
Proposal for Change Paper Rubric (graded on a 0-100 point
scale) 30% of course grade
Name______________________________
Total: _____________
10
8
6
4
2
0
Assignment Information
Assignment is
explicit,
focused, and
includes all assignment criteria
.
Assignment is clear and maintains focus throughout. Minor
lapses in focus or relevancy to assignment criteria
Assignment is generally clear, explicitly stated, but has several
lapses in focus and relevancy to assignment criteria
Assignment loses focus r has major lapses in relevancy to
assignment criteria
Assignment is unclear or confusing. Minimally meets
assignment criteria
Does not meet assignment criteria
20
16
12
8
4
0
Quality of Information
Discussion is developed and is clearly supported by the
literature. No lapses in logical progression of information.
Contains specific, well developed information. It includes
several supporting details and/or examples
There are minor lapses in either the development of the
discussion or in the support by the literature. No lapses in
logical progression of information. It includes some supporting
details and/or examples
There are minor lapses in both the development of the
discussion and in the support by the literature. It includes some
supporting details and/or examples
There are major lapses in either the development of the
discussion or in the support by the literature. No lapses in
logical progression of information. It includes minimal
supporting details and/or examples
There are major lapses in both the development of the
discussion and in the support by the literature. No lapses in
logical progression of information. It includes minimal
supporting details and/or examples
Discussion of
Information lacks organization
5
4
3
2
1
0
Sources
All references are from relevant peer-reviewed sources, within a
5 year time frame or are classic sources.
The majority of references is from relevant peer-reviewed
sources, within a 5 year time frame or are classic sources.
Some references are from non-peer-reviewed sources or are
older than 5 years.
Majority of references is from non-peer-reviewed sources or are
older than 5 years.
Minimal use of peer-reviewed sources. Majority of references
are older than 5 years, or course textbooks.
No use of sources
10
8
6
4
2
0
Quality of Writing
Information is very organized with well-constructed paragraphs
and subheadings. Skillful use of precise and purposeful
vocabulary. Skillful use of sentence fluency.
Information from references is paraphrased.
Minor lapses in either organization or paragraph construction.
Vocabulary is precise and purposeful Minor lapses in sentence
fluency. Majority of information from references is
paraphrased. Direct quotes are used sparingly.
Minor lapses in both organization and paragraph construction.
Minor lapses in sentence fluency. Majority of information from
references is paraphrased. Some use of direct quotes.
Major lapses in either organization or paragraph construction.
Major lapses in sentence fluency. Information from references
is paraphrased and direct quotes are used in equal proportion.
Major lapses in both organization and paragraph construction.
Many grammatical, spelling, and formatting errors. Minimal use
of sentence fluency. Majority of information from references is
quoted directly with minimal use of paraphrasing.
Incomplete or Illegible. Majority of information from references
is direct quotes.
5
4
3
2
1
0
APA
Skillful and proficient use of APA formatting of text.
References are cited correctly
follow APA
format
Minimal problems with APA formatting of text or minor lapses
in citation of references using APA format
There are minor lapses in APA formatting of text and citation
of references using APA format
There are major problems with APA formatting of text or major
lapses in citation of references using APA format
There are major lapses in APA formatting of text and citation
of references using APA format
No use of APA formatting or reference citation

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Learning ObjectivesAfter completing this chapter, you shou.docx

  • 1. Learning Objectives After completing this chapter, you should be able to: • Define capacity as a measure of an organization’s ability to provide customers with the requested service or good. • Explain that capacity estimation is difficult because many management decisions affect capacity. • Describe how overall capacity of the system is dependent on the capacities of the departments and machines that form the production system. • Determine the bottleneck in a system and demonstrate how that information can be used. • Describe key capacity decisions, such as how much capacity to add; when, where, and what type (process) of capacity to add; when to reduce capacity and by how much. 8 ©Fotosearch/SuperStock Capacity Decisions von70154_08_c08_223-256.indd 223 2/22/13 3:34 PM
  • 2. CHAPTER 8Section 8.1 Capacity Defined 8.1 Capacity Defined Capacity is a measure of an organization’s ability to provide customers with the demanded services or goods in the amount requested and in a timely manner. Capacity is also the maximum rate of production. An organization marketing and selling rotisserie chicken should be able to produce and deliver chicken in sufficient quan- tities to satisfy consumer demand during lunch and dinner times when demand peaks. Meeting customer demand requires the acquisition of physical facilities, the hiring and training of qualified people, and the acquisition of materials to achieve the desired pro- duction level. The following important questions about capacity planning are addressed in this chapter: • How can management estimate capacity? • What is system capacity, and why is it important? • How can capacity decisions be made to gain a competitive advantage for the organization? Role of Capacity Planning Capacity planning is very important because significant capital is usually required to build the facilities and purchase the equipment to build capacity. Creating a series of large server farms to support the Internet and data communications requires substantial invest-
  • 3. ment. Millions of dollars are required to build a brewery, a hospital, or a knitting produc- tion line to make sweaters. These expenditures are for fixed assets that are expensive to maintain and even more expensive to change. Capacity decisions require careful consid- eration of an organization’s long-term objectives and the market demand. Capacity deci- sions must be consistent with current and anticipated demand. Organizations should be flexible in order to meet future as well as present capacity require- ments. Flexibility can allow managers to: • Adjust production volume to respond to changes in customer demand. • Produce different products on the same equipment (product mix) to respond to changing customer needs. • Alter product technology and process technology to maintain or improve an organization’s competitive position. von70154_08_c08_223-256.indd 224 2/22/13 3:34 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity 8.2 Estimating and Altering Capacity Before estimating capacity, it is necessary to recognize the difference between theoretical or ideal capacity and
  • 4. achievable capacity. Theoretical capacity is what a service firm or a manufacturer can produce under ideal conditions for a short period of time. Under ideal conditions there are no equipment breakdowns, main- tenance requirements, mate- rial problems, or worker errors. While organizations strive to eliminate these unproductive delays, allowances for these ele- ments must be made in order to develop realistic estimates of capacity. Real World Scenarios: Meijer Superstores Meijer superstores provide consumers with a full range of food products as well as a diverse range of other products, such as sporting goods, automotive supplies, clothes, and lawn care equipment. Meijer’s concept is twofold: 1) build big stores that have high sales; and 2) aggressively expand the number of stores. In addition to the advantage of one-stop shopping, Meijer’s large capacity stores offer other advantages. The average purchase made by each customer should be higher because of the wide product variety. Although most traditional grocery items such as bread, rice, and milk have very low profit margins, products like microwaveable hamburgers, organic products, free-range chicken, and in-store bakery goods have higher margins and these boost profits.
  • 5. Larger capacity allows Meijer to spread the fixed cost of a store over a greater sales volume, thereby reducing costs and increasing profits. For example, when more customers shop at Meijer, the cost of floor space, food display racks, and checkout facilities remain unchanged. These are simply utilized at a higher level. Heating and lighting costs are also unaffected by these additional shoppers, for the most part. Meijer is creating economies of scale by serving more customers with the same facilities and equipment. Examples of variable costs for Meijer include staffing levels for checkout counters and spending for items such as eggs and milk when customers buy more. Meijer also has installed self-checkout facilities that take less space and reduce labor costs at checkout to increase facility utilization and to enhance productivity. Meijer is also spreading the fixed costs of corporate operations over more stores by rapidly expand- ing the number of new stores. In addition to cutting the per- store share of these corporate-level fixed costs, expansion gives Meijer more buying power, which enables it to negotiate better prices and delivery schedules from suppliers. .Thinkstock To estimate capacity, managers must first select a way to measure it. Hospitals often use beds as a measure of capacity. von70154_08_c08_223-256.indd 225 2/22/13 3:34 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity
  • 6. To estimate capacity, managers must first select a way to measure it. In some cases, the choice is obvious, for example, tons per hour of steel or kilowatt-hours of electricity. A hospital can use beds as a measure of capacity. Thus, a hospital with 100 beds that are available 365 days per year has a capacity of 36,500 patient- days each year. Hospitals measure the number of patients admitted and how long each stays so they can calculate patient-days consumed. A comparison of patient-days consumed and patient-days avail- able gives the operating ratio shown below. Hospital’s operating ratio 5 24,000 patient-days consumed 36,500 patient-days available 3 100 5 65.8% In general, the operating ratio is calculated according to the following equation: Operating ratio 5 capacity consumed capacity available 3 100 Finding a yardstick to estimate capacity is more difficult in a restaurant than in a hospital because there is no uniform product on which the measurement can be based. Capacity
  • 7. could be measured in terms of people served, meals prepared, or the ability to gener- ate sales dollars. It is management’s responsibility to select the appropriate measure and apply it. Once the measure has been selected, estimating capacity involves the following steps: 1. Determine the maximum rate per hour of the production equipment. 2. Determine the number of hours worked in a given time period. 3. Multiply those two numbers. Capacity/period 5 (maximum production rate/hour) 3 (number of hours worked/period) Production rate 5 number of units produced amount of time Capacity can be changed by changing the number of hours worked in a time period, or by changing the production rate. The number of hours worked per time period is affected by several factors, including overtime, multiple shifts, downtime for preventive mainte- nance, and allowances for unplanned equipment failure. von70154_08_c08_223-256.indd 226 2/22/13 3:34 PM
  • 8. CHAPTER 8Section 8.2 Estimating and Altering Capacity Several management decisions affect capacity. For example, increases in the amount and quality of preventive mainte- nance could increase capacity by reducing unexpected equip- ment failure. Other decisions affect capacity by changing the production rate. The following decisions are examined in this section: • Changing the mix of products produced by the facility. • Adding people to the production process. • Increasing the moti- vation of production employees. • Increasing the machine production rate. • Improving the quality of the raw materials and the work in process. • Increasing product yield. Product Mix An organization’s product mix is the percentage of total output devoted to each prod- uct. For example, an agency may sell life, house, and
  • 9. automobile insurance. How does .Associated Press/AP Images An organization’s product mix is the percentage of total output devoted to each product. Johnson & Johnson is a large corporation with an expansive product mix including consumer and pharmaceutical products such as Tylenol and BAND-AIDs. Problem Given the following information on maximum production rate and hours worked for an oven that cooks pizzas, determine the capacity per week. Maximum production rate 5 40 pizzas/hour Number of hours 5 84 hours/week Overtime 5 0 hours/week Preventive maintenance 5 0 (because it is performed after closing) Equipment failure 5 2% of planned hours (Unplanned downtime) Capacity/week 5 (40 pizzas/hour)(84 1 0 2 0 hours/week)(1 2 0.02) 5 3,292.8 pizzas/week The hours worked per week is reduced from 100% to 98% of the available hours because of the 2% downtime anticipated for equipment failure.
  • 10. von70154_08_c08_223-256.indd 227 2/22/13 3:35 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity Problem Assume that each contact for life insurance takes three hours, house insurance takes two hours, and automobile insurance requires one hour. What are the capacities of an agent who works 40 hours per week under Mix 1 and Mix 2? Type Mix 1 Mix 2 Life insurance 0.20 0.40 House insurance 0.30 0.40 Automobile insurance 0.50 0.20 Begin by calculating the production rate for each type of insurance. These production rates represent what an agent could do if he or she sold only that type of insurance. Production Rate 5 (hours worked per week)/(hour required per unit) Production RateLife 5 (40 hrs./wk.)/(3 hrs./unit) 5 13.33 contacts per week Production RateHouse 5 (40 hrs./wk.)/(2 hrs./unit) 5 20 contacts per week
  • 11. Production RateAuto 5 (40 hrs./wk.)/(1 hr./unit) 5 40 contacts per week Now calculate the capacity for one week if Mix 1 is assumed. Now, the agent’s time is divided among the various types according to the mix. PR 5 (13.3 contacts/wk.)(0.2) 1 (20 contact/wk.)(0.3) 1 (40 contacts/wk.)(0.5) 5 28.67 contacts/wk. As an exercise, calculate the capacity if Mix 2 is assumed. (The answer should be 21.33 contacts per week.) Thus, as the mix shifts away from automobile insurance to life and house insurance, which require more time per contact, the capacity of an agent as measured by the number of contacts declines. If an average selling price for each type of contract can be determined, it would be possible to calculate the capacity of a sales person when generating revenue on a daily, weekly, or monthly basis. product mix effect capacity? It may take more of an agent’s time to sell life insurance than automobile insurance. Consequently, a shift in demand toward life insurance poli- cies reduces an agent’s selling capacity. In theory, the agent should earn more money sell- ing life insurance to compensate for the extra time. Otherwise, the agent will favor house and auto insurance. Product mix issues are also relevant in manufacturing. A steel company produces steel
  • 12. of many alloys, shapes, and sizes, and these differences require different production pro- cesses and times. For example, the sheet steel that forms the body of an automobile or an appliance is produced in many widths. A 60-inch piece may be needed for the hood, and a 40-inch piece may be needed for a door panel. The mill that rolls these widths takes about the same amount of time per foot regardless of width. Therefore, a mill with a heavy mix of 40-inch pieces will be able to produce fewer tons per hour than a mill with many 60-inch pieces. What is the capacity of the processing equipment, and what are the units of von70154_08_c08_223-256.indd 228 2/22/13 3:35 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity Problem Assume that a company uses steel that is 1/8-inch thick and has a density of 0.2833 pounds per cubic inch. The machines roll steel for 80 hours per week at an average speed of 30 inches per second. The company produces both 40- and 60-inch widths of steel and wants to determine the capacity of each of the following product mixes. Size Mix 1 Mix 2 40 inches 80% 50% 60 inches 20% 50%
  • 13. The company’s production rate can be calculated as follows: Production rate (PR) 5 (production rate for 40-inch)(mix for 40- inch) + (production rate for 60-inch) (mix for 60-inch) The production rate for the 40-inch size (PR40) can be determined as follows: PR40 5 (width)(thickness)(processing rate inches/hour)(density) 5 (40 in)(1/8 in)(30 in/sec)(3,600 sec/hr)(0.2833 Ibs/cubic in) 5 152,982 Ibs/hr This would be the production rate if only the 40-inch size were produced. Calculate the production rate for the 60-inch size, which is 229,473 pounds per hour. Now calculate the overall production rate if Mix 1 is assumed. PR 5 (152,982 Ibs/hr)(0.8) 1 (229,473 lbs/hr)(0.2) 5 122,385.6 lbs/hr 1 45,894.6 lbs/hr 5 168,280.2 Ibs/hr Convert this figure to tons per hour. PR 5 168,280.0 lbs/hr 2,000 lbs/ton
  • 14. 5 84.14 tons/hr Next, convert the production rate into an estimate of capacity for a week. Capacity for Mix 1 5 (PR of mix 1)(hours worked) 5 (84.14 tons/hr)(80 hrs/week) 5 6,731.2 tons/week Calculate the capacity if Mix 2 is assumed, which is 7,649.1 tons per week. Thus, as the mix shifts from 40-inch to 60-inch steel, the capacity increases. Capacity is influenced by product mix. capacity? Steel is measured in tons per hour, but those who estimate capacity realize that capacity changes as the mix of steel changes because different products have different pro- duction rates. Therefore, product mix must be estimated before capacity can be estimated. von70154_08_c08_223-256.indd 229 2/22/13 3:35 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity Adding People Adding people to an operation may increase the maximum production rate. This increase occurs when the operation is constrained by the amount of labor assigned to the job. The capacity of both service operations and manufacturing operations is affected by adding or
  • 15. eliminating people. Organizations that are successful need to be willing and able to adapt to change. Part of being able to adapt is having flexibility to meet changes in demand. The following example illustrates the flexibility available to an organization in meeting vary- ing levels of demand. Problem To assemble the frames for 25 rocker/recliner chairs, each assembler takes his or her work order to the inventory clerk to pick the parts required to make the chairs. This takes about 30 minutes. After returning to the work area, each assembler completes 25 chair frames in 3 1/2 hours. To increase the capacity to assemble chair frames, a separate stock picker could be hired to gather inventory for all the assemblers. Then each assembler would be able to increase production by 1/7 because the 30 minutes consumed in stock picking could now be used to assemble chairs. Therefore, each assembler could assemble for 4 hours rather than 3 1/2 hours. One stock picker could serve eight assemblers. The capacity improvement is calculated here. Capacity per assembler before stock picker 5 (25 chairs/4 hrs.)(8 hrs./shift) 5 50 chairs/shift Capacity per assembler after stock picker 5 (25 chairs/3.5 hrs.)(8 hrs./shift) 5 57.14 chairs/shift
  • 16. % Increase in Capacity 5 New Capacity 2 Old Capacity Old Capacity 3 100 5 57.14 2 50 50 3 100 5 14.28% Increasing Motivation Another way to increase the production rate for an operation with labor constraints is to increase motivation. Substantial increases in production rates can be achieved when work- ers feel they are an important part of the operation. These productivity increases do not require additional labor costs or extra investment in equipment. The people work harder to accomplish more when they have an emotional or financial stake in the organization. There has been a growing awareness among both management and labor that communi- cation and cooperation offer better opportunities for success than sharp-tongued rheto- ric, lockouts, and strikes. Evidence of this willingness to cooperate exists in almost every industry as organizations fight for market share and workers fight for jobs in the increas- ingly global environment. In the automotive industry, labor has agreed to liberalize work
  • 17. rules so that productivity can be increased. For example, some facilities have reduced the number of job classifications from 100 to only a few, making it possible to perform simple von70154_08_c08_223-256.indd 230 2/22/13 3:35 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity .iStockphoto/Thinkstock A pizza oven is an example of a machine constraint. To increase capacity, new machines must be purchased or existing machines must be operated more efficiently. maintenance tasks with one or two employees rather than five or six. Management has agreed to profit sharing, which allows the workforce to share in the benefits of these sim- plified work rules. Management has also begun to recognize the talents of its labor force and has encouraged employee involvement in what used to be exclusively management domain: decision making. Labor is learning to accept efforts to improve automation because workers see that cutting costs and enhancing quality can lead to the best kind of job security, that is, increasing sales. Shared decision-making has not only caused increased cooperation, but it has cre- ated more motivated employees, thus providing the following benefits to organizations:
  • 18. • Organizations can tap into talent that already exists in their workforce. • Workforces are more receptive to training and new ideas. • People work harder and smarter. Increasing Machine Production Rate In an operation that is machine constrained, adding people will not increase capacity. Machine constrained means that the equipment is operating for all the available time at its best speed, while the operators have some idle time. For example, if a pizza oven can bake 40 pies per hour, and the staff can assemble 60 pies per hour, then the pro- cess is machine constrained. To increase capacity, either new machines should be purchased or existing machines should be operated more efficiently. One possibility that was men- tioned earlier is to increase pre- ventive maintenance so that downtime due to machine fail- ure will be reduced or eliminated. Another approach is to develop procedures that more efficiently utilize existing machines. With continuing process improvements there is usu- ally a way to improve a machine’s production rate. A procedure could be as simple as finding a faster and better way to load pizzas into the oven or increasing the heat in the oven to cook pizzas faster.
  • 19. Improving Quality Improving quality can often increase the capacity of operations. Simply stated, if an oper- ation produces a product of inferior quality and the product is rejected, the capacity used to produce that product is wasted. Poor quality gives the organization’s customers a bad von70154_08_c08_223-256.indd 231 2/22/13 3:35 PM CHAPTER 8Section 8.2 Estimating and Altering Capacity impression of its product, and also robs operations of needed capacity. Consider the fol- lowing case. Real World Scenarios: Downey Carpet Cleaning Downey Carpet Cleaning is a family-owned business that cleans carpets, furniture, and drapery. It also performs general housekeeping services. For several years, Downey has offered a carpet service that thoroughly cleans high-traffic areas at one low price although some competitors charge extra for high-traffic areas. Why should Downey charge the lower rate? According to the owner, who is also the manager, it is a sound business decision. A callback to clean a carpet a second time for a dissatisfied customer takes as much time as making two regular carpet-cleaning stops because regular stops are scheduled to avoid as much nonproduc- tive travel time as possible. Callbacks often require much
  • 20. longer drives. Each callback robs Downey of capacity and additional potential revenue. Comparatively, the extra time and money for the chemi- cals needed to clean the high-traffic areas right the first time are small. The typical carpet-cleaning worker can perform 10 jobs per day with an average revenue of $43 per job. One callback for which the company receives no additional revenue causes Downey to lose $86 in revenue. The company misses out on two regular jobs at $43 per job. Plus, the out-of-pocket costs for the chemicals to clean the carpet a second time, and the costs of operating the truck for the return trip are incurred. In one day, the extra costs of the chemicals, and the time for the worker to complete all 10 jobs correctly the first time is less than $20. By avoiding callbacks, Downey is able to increase its capacity. In addition to a sound financial policy, customers also like the policy and fre- quently have Downey return for other services as well as for their next carpet cleaning. Increasing Product Yield In many operations, the quantity of output is less than the quan- tity of input. In other words, some inputs are lost during the production of a good or service. Yield is the ratio of the quantity of output to the input quantity. Yield 5 quantity of output quantity of input
  • 21. Yield is a function of the charac- teristics of the process for pro- ducing the product. For exam- ple, an oil refinery begins with one barrel of crude oil, but when it is finished, there is less than one barrel of finished product. Small amounts evaporate, are spilled, or are otherwise lost in Comstock Images/Thinkstock When filming a movie, a director often shoots excess footage and then edits it, removing scenes to create the final version of the film. An increase in yield would mean shooting less “extra” footage. von70154_08_c08_223-256.indd 232 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Points to Consider Capacity estimation is a necessary prerequisite to capacity planning. Without knowledge of the existing limits on capacity, meaningful capacity planning or production planning cannot take place. As the earlier section indicates, capacity is not a fixed number. Capacity is a function of management ingenuity. It can be influenced by good planning, good oper- ating procedures, effective maintenance programs, and other management decisions. One of the important responsibilities of operations managers is to
  • 22. investigate ways to increase capacity before investing substantial capital in new facilities. 8.3 Determining System Capacity Until this point, the discussion of estimating and improving capacity has focused on only one machine or one operation within a company. The reality is that operations are a combination of different machines, equipment, and processes that make fin- ished products. To plan effectively, management must know the capacity of the entire pro- duction system, not just the capacity of individual parts. System capacity is the ability of the organization to produce a sufficient number of goods and services to meet the demands of customers. The capacity of an insurance company is not dependent only on the capacity of its sales personnel, the capacity of a hospital is not set only by the number of surgery rooms, and the capacity of a pizza parlor is not determined only by the capacity of its ovens. For convenience, the term department is used when referring to a portion of the produc- tion system. To analyze system capacity, it is important to determine how departments are related. The two basic arrangements, product layout and process layout, are discussed in Chapter 7 and are also used here. the production process. Some is burned as waste gas. The yield is the percentage of the output that is a useful product. A 96% yield means 96 of every 100 barrels of input are made into useful products. If a refinery’s engineers find
  • 23. methods to increase the yield by 1%, the refinery will have more product to sell, which increases effective capacity. Making movies follows a similar process. A director may shoot eight hours of film but may edit the film so that the final movie is two hours or less. The extra time used to shoot the movie costs money and prevents using the actors, sound stage, locations, cameras, and equip- ment to make other movies. Increasing yield would mean shooting less than eight hours of film to make the two-hour movie. Highlight: Intel and Computer Chips After Intel introduces new computer chips, it usually experiences a dramatic improvement in yield during production. Initially, the number of chips that meet standards may be only 60%. As the com- pany learns more about the process, the yield may increase to 90% or more. This 30-point increase in yield leads to 50% more product to sell. (Previously only 60 of 100 chips could be sold. Now 90 chips, that is, 30 more, are available.) Thus, capacity is increased. Because these 30 additional chips add no production cost, most of the revenue from their sale contributes directly to the company’s bottom line. For Intel, moving up the yield curve as quickly as possible has a substantial impact on meeting customer demand and on increasing profitability. von70154_08_c08_223-256.indd 233 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity
  • 24. Product Layout Product-oriented layout is characterized by high demand for the same or similar prod- ucts. Examples include refining steel, making paper, and processing checks in a bank. In this arrangement, there are few, if any, product variations, and the layout fits the domi- nant flow of the product—thus, the name “product layout.” For example, to make paper, wooden logs are ground and chemically treated to produce a watery mixture called pulp. The pulp is pumped to the papermaking machine where excess water is gradually squeezed out, leaving a thin sheet of wet paper. The wet paper passes through a series of dryers that remove most of the remaining moisture. The paper is then rolled into logs that can be 30 feet wide and several feet in diameter. These huge logs are later cut into many different widths. Most types of paper are made using the same process and follow the same flow (see Figure 8.1). Figure 8.1: Product-oriented layout of paper mill Pulp preparation Papermaking Drying Process Layout Process-oriented layout is characterized by the production of many different products with the same equipment and low volume of any individual product. No single prod- uct has enough volume to support a dedicated set of machines. Each product has differ-
  • 25. ent production requirements that place different demands on the equipment. Examples include a machine shop that produces specialty automotive parts for racing engines, a hospital emergency room, and an automotive repair shop that offers a wide variety of ser- vices. In this arrangement, the layout is grouped by similar machine types because there is no dominant product flow—thus the name “process layout.” An automotive center contains the equipment to analyze a variety of mechanical prob- lems. As seen in the following list, different customers desire a different set of services. The facilities are arranged by process because there is no dominant flow (see Figure 8.2). Figure 8.2: Process-oriented layout of an automotive service center Liftwork: Shock absorbers and exhaust systems Batteries and electrical Tires Tune-upsBrakes Wheel alignment
  • 26. von70154_08_c08_223-256.indd 234 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Customer Services Requested A Tires, shock absorbers, wheel alignment B Tires, brakes, tune-up C Brakes, tune-up, exhaust system D Tires, brakes, shock absorbers, muffler E Shock absorbers The capacity of the product-oriented and process-oriented layouts is determined by ana- lyzing the capacity of individual departments. Approaches to determining the capacity of both layouts are discussed next. Product Layout and System Capacity The capacity of a product-oriented system can be visualized as a series of pipes of varying capacity, with the smallest diameter or capacity holding back the entire system. Figure 8.3 shows five pipes (departments or machines) with different diameters (capacities). The output from one pipe becomes the input to the next until the finished product exits pipe number five. In Figure 8.3, pipe number two cannot handle all the flow that pipe number one can deliver and, therefore, it restricts the flow. Because of
  • 27. pipe number two’s lim- ited capacity, it restricts the flow from upstream pipes and starves the downstream pipes. Pipes three, four, and five can work on only what pipe two can deliver. This restriction is called a bottleneck, and it determines the system’s capacity. Figure 8.3: A bottleneck in the product flow Flow in Flow out1 2 3 4 5 Analysis of System Capacity In a product-oriented layout, identifying the bottleneck is critical. The importance of this analysis cannot be overstated because the results are used not only in determining capac- ity, but also in planning and scheduling production, which are discussed later in the book. The approach to determining the bottleneck is illustrated in Figure 8.4. Start at the begin- ning of the system, and determine the capacity of the first operation or department. This is the system capacity so far. Use this capacity as the input to the next department in the sequence. Can that department take the total input from the previous department and process it completely? If it can, then the system capacity has not changed. If it cannot, then the system capacity is reduced to the capacity of that department. The procedure contin- ues until the end of the process is reached and the system
  • 28. capacity is known. von70154_08_c08_223-256.indd 235 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Figure 8.4: A sequential approach to bottleneck analysis STOP: The System capacity is known No No Yes Yes Reduce the system capacity to the department capacity Start System capacity does not change Determine capacity of first department (this is the system capacity so far)
  • 29. Use the system’s capacity so far as the input to the next department Can the next department process all the input? Is there another department? von70154_08_c08_223-256.indd 236 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Consider the example shown in Figure 8.5. The basic oxygen furnace has a maximum rate of 4,200 tons per day (tpd), while the continuous caster’s rate is 6,000 tpd. According to the example, the capacity of that part of the system is limited by the capacity of the slower department. Figure 8.5: Simple steel production flow Basic oxygen furnace (4,200 tpd) (6,000 tpd) Continuous
  • 30. casting Determining the Bottleneck Now consider the entire system for making steel shown in Figure 8.6. The capacity of a department is listed below the department name. At two points in the steel-making pro- cess, outputs from two departments are inputs to a single department. The ratio of each input is listed above the arrow that illustrates the flow. For example, in the blast furnace, three pounds of iron ore are mixed with one pound of coke. This is like a recipe for a cake, three cups of flour to one cup of sugar, or three parts gin and one part vermouth for a martini. The capacity to mix martinis depends on both gin and vermouth. To supply the blast furnace with what it needs, iron ore and coke oven output should be combined in the correct proportion until at least one of these inputs is exhausted or until the capacity of the blast furnace is completely consumed. Figure 8.6: Steel production flow: a product layout Iron ore processing (4,000 tpd) Blast furnace (3,000 tpd)
  • 31. 3 parts 1 p ar t 1 p ar t 2 parts Coke ovens (1,000 tpd) Scrap handling (1,500 tpd) Basic oxygen furnace (4,200 tpd) Continuous casting (6,000 tpd)
  • 32. Finishing mill (5,000 tpd) What is the system capacity? Follow along in Figure 8.6. Iron ore processing and coke ovens can deliver 3,000 and 1,000 tpd, respectively. (Only 3,000 tons can be used from iron ore processing because of the ratio requirements.) The combined 4,000 tpd is more than sufficient for the blast furnace, which can process only 3,000 tpd total. So far, the blast furnace is holding back production. The blast furnace and scrap handling, in turn, supply von70154_08_c08_223-256.indd 237 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity 3,000 and 1,500 tpd, which is more than adequate for the basic oxygen furnace capacity of 4,200 tpd. Because the basic oxygen furnace cannot process all available inputs, the blast furnace cannot be the bottleneck. The basic oxygen furnace cannot deliver sufficient out- put to the remaining departments. Therefore, the basic oxygen furnace is the bottleneck for the system, and the capacity of the system is 4,200 tpd. To calculate the production rates that allow the system to produce 4,200 tpd, begin at the bottleneck department in Figure 8.7. Trace the product flow
  • 33. from the bottleneck to the beginning and the end of the process. In order to achieve 4,200 tpd of basic oxygen furnace input, (2/3)(4,200) 5 2,800 tpd comes from the blast furnace and (1/3)(4,200) 5 1,400 tpd comes from scrap. The requirements are listed above each department. The blast furnace requires (3/4)(2,800) 5 2,100 tpd of iron ore and (1/4)(2,800) 5 700 tpd of coke. Moving from the basic oxygen furnace to the end of the process is simpler because there are no pairs of departments. The requirement for those departments is 4,200 tpd. When making steel, each operation in this process would suffer a yield loss, which is not considered here in order to simplify discussion. Figure 8.7: Determining system capacity Iron ore processing (4,000 tpd) Blast furnace (3,000 tpd)** 3 parts 1 p ar t
  • 34. 1 p ar t 2 parts Coke ovens (1,000 tpd) *Numbers above each department indicate the production rate required from that department to achieve a system capacity of 4,200 tpd. **Numbers below each department indicated the individual department’s capacity. Scrap handling (1,500 tpd) Basic oxygen furnace (4,200 tpd) Continuous casting (6,000 tpd)
  • 35. Finishing mill (5,000 tpd) (2,100 tpd) (2,800 tpd)* (700 tpd) (1,400 tpd) (4,200 tpd) (4,200 tpd) (4,200 tpd) Rounding Out System Capacity It is also important to know which department, machine, or step in the process restricts the system’s capacity. An operations manager may be charged with increasing the system’s capacity. If he or she tries to do so by increasing blast furnace capacity, there will be no increase in the system’s capacity. This organization could spend hundreds of millions of dollars on a new blast furnace without producing one additional ton of steel because the bottleneck constricts the flow, and the bottleneck is the basic oxygen furnace. The system capacity can be increased by applying resources to the bottleneck depart- ment. This approach is called rounding out capacity because resources are applied to the bottleneck to bring it into balance with other parts (departments) in the system. Rounding out capacity has a limit, however. Simply stated, if the operations manager doubles basic oxygen furnace capacity because it is the bottleneck, the system’s capacity will not double.
  • 36. von70154_08_c08_223-256.indd 238 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity There is not enough capacity in other departments to absorb that large an increase. As a result of doubling basic oxygen furnace capacity, the bottleneck simply jumps to another department. Managers should understand this issue and carefully analyze the effect on the system when departmental capacity is increased. An important and useful piece of information is how far the system’s capacity can be increased before another bottleneck appears. To answer this question, examine the requirements listed above each department in Figure 8.7. A quick review shows that scrap handling and the blast furnace will be bottlenecks as basic oxygen furnace capacity is increased. With a cushion of 100 tons per day in scrap handling, the capacity of the system could increase by only 300 tpd. (Remember that one part scrap and two parts hot metal from the blast furnace are required.) The scrap handling and blast furnace departments have insufficient capacity to handle an increase of more than 300 tpd in basic oxygen fur- nace capacity. Another way of thinking about it is to simply set the capacity of the present bottleneck to infinity and rework the problem. The results are shown in
  • 37. Figure 8.8. The system’s capac- ity is 4,500 tpd. There are two bottlenecks: blast furnace and scrap handling. Remember, the basic oxygen furnace capacity was set to infinity. It actually does not need to be infi- nitely large, but it must be 4,500 tpd or more if the system capacity is 4,500 tpd. The analysis of system capacity and associated bottlenecks is extremely important to determine capacity. Rational decisions about capacity can be made only if these concepts are fully understood. Figure 8.8: Rounding out capacity Iron ore processing (4,000 tpd) Blast furnace (3,000 tpd)** 3 parts 1 p ar t 1 p ar
  • 38. t 2 parts Coke ovens (1,000 tpd) *Numbers above each department indicate the production rate required from that department to achieve a system capacity of 4,500 tpd. **Numbers below each department indicate the individual department’s capacity. Scrap handling (1,500 tpd) Basic oxygen furnace (4,200 tpd) Continuous casting (6,000 tpd) Finishing mill
  • 39. (5,000 tpd) (2,250 tpd) (3,000 tpd)* (750 tpd) (1,500 tpd) (4,500 tpd) (4,500 tpd) (4,500 tpd) Process Layout and System Capacity The process-oriented layout is characterized as a multiple- product facility with low vol- ume per product. The products are different from one another and usually require differ- ent methods and procedures in production. There is no dominant product flow to guide von70154_08_c08_223-256.indd 239 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity the arrangement of departments as there is in the paper or steel industry, so similar opera- tions are grouped together. The process-oriented layout does not have enough volume in any one product to require dedicated specialized production facilities. A medical center is an example of a process-oriented operation. Patients are screened at the reception desk to determine the nature and seriousness of their injuries, and then pro- ceed to a waiting room to be called by a nurse or physician. After an initial examination, the method of treatment for each patient is determined. Each
  • 40. treatment could be different and is based on the patient’s individual needs. A patient in an automobile accident may be scheduled for X-rays, orthopedic surgery, and application of a cast. The next patient may have heart problems. Each follows a different path through the medical center. The equipment should be flexible enough to handle a wide range of needs. For example, X-ray machines can provide images of legs, feet, hands, and other areas of the body. Analysis of System Capacity Determining system capacity in a process-oriented layout is more complex than doing so in a product-oriented layout. In the process layout, each product does not follow the same path through the system. The functions and machines are grouped into departments, and different products follow different paths. The layout shown in Figure 8.9 has six depart- ments and four different patterns of treatment or products. The departments’ capacities are given in patients per week (ppw) and are based on average time per treatment. Figure 8.9: A process layout of a medical center Patient type Department Waiting area (1) (1,000 ppw)
  • 41. X-ray (2) (400 ppw) Orthopedic care (3) (250 ppw) Cardiology (4) (500 ppw) Neurology (5) (300 ppw) Departments Intensive care (6) (600 ppw) A B C
  • 42. D 1, 2, 3 1, 4, 6 1, 2, 5 1, 2, 6 System capacity is not merely a search for the minimum department capacity because there is no dominant flow. The capacity of the system is a function of the jobs presented. If the medical center only processed one type of patient, the system capacity could be eas- ily and accurately estimated. If all the patients arriving at the medical center are type-A patients (those needing orthopedic care), the capacity of the system will be 250 patients per week. In the very specific and highly specialized case, the analysis is like that of a product layout. This is completed by finding the minimum capacity for departments 1, 2, and 3. If all patients are of type B, then the capacity will be 500 patients per week. For patients of types C and D, the system capacities are 300 and 400 patients per week, respec- tively. The following table shows the various capacities if all of the patients in one week von70154_08_c08_223-256.indd 240 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity
  • 43. were a single type. This is not likely to occur, so the system’s capacity is a function of the job types presented. This is called the product mix or, in this case, patient mix. Mix System’s Capacity Bottleneck Department 100% A patients 250 ppw Orthopedic care 100% B patients 500 ppw Cardiology 100% C patients 300 ppw Neurology 100% D patients 400 ppw X-ray Product Mix and Capacity in a Process Layout What would the system capacity be if the medical center processed all four types during the same week? To simplify the problem, assume that only type A patients arrive on Mon- day and Tuesday, type B on Wednesday and Thursday, type C on Friday and Saturday, and type D on Sunday. The system capacity per week for that mix would be calculated as follows: System Capacity 5 2 7 (250 ppw) 1 2 7
  • 44. (500 ppw) 1 2 7 (300 ppw) 1 1 7 (400 ppw) 5 357 ppw The fractions in the preceding equation are the patient mix. A different assumption con- cerning the number of days per week assigned to each patient type would cause a differ- ent product mix and would result in a different system capacity. In reality, not all orthopedic care patients (type A) will arrive on Monday and Tuesday. The method illustrated in the prior calculation is likely to underestimate the system capac- ity because we have assumed that no patient other than an orthopedic patient arrives on Monday or Tuesday. However, the system does have the capacity to process type B, C, and D patients on Monday and Tuesday in addition to (2/7) (250 ppw) 5 71.4 type A patients. How can managers of a medical center get an accurate estimate of system capacity and determine which department is the bottleneck? An often-used technique for estimating capacity in a process layout is simulation. In this approach, an estimate of product mix (patient mix) is used to randomly gener-
  • 45. ate arriving patients. The time to service each patient is based on historical data, and is also randomly generated. The simulation is run for a long period of time, and statistics about the number of patients served and the use of each department are kept. Utilization data should be kept regularly for equipment in a process layout so that bottlenecks can be anticipated and corrective action taken. Management can change the mix of arriving patients in the simulation to determine how the system capacity and bottleneck depart- ment change. A different mix places different demands on the resources. Managers should plan for the present mix of patients and the associated bottleneck, as well as for the mix of possibilities that the future holds. von70154_08_c08_223-256.indd 241 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Capacity Decisions for Service Operations Most of the concepts discussed in this text apply to producers of services and produc- ers of goods. It is important to note, however, that service operations are different from manufacturing operations in some aspects. First, services are direct and cannot be inven- toried. Whereas the consumption of goods can be delayed, the general rule is that services are produced and consumed simultaneously. This means that service organizations must (1) build enough capacity to meet maximum demand, (2)
  • 46. manage demand so that people will use the services at off-peak times (allowing long waiting lines to occur is one way to manage demand, albeit a poor way, and offering monetary incentives to use the service at off peak times is another way), or (3) choose not to satisfy all the demand. Each of these options has a cost. Building sufficient capacity to meet maximum demand can mean that a significant portion of the capacity is used infre- quently. This can mean large capital expenditures with lim- ited return on investment. Peo- ple who must wait in long lines for service may become dissat- isfied, and that will result in a loss of business. For example, a hospital that has long lines in its emergency room is likely to lose business to another emergency room that is better organized and has a shorter wait time. Choosing to ignore demand means a loss of customers that may have both short- and long- term effects. Second, there is often a high degree of producer-consumer interaction during the produc- tion of a service. This interaction frequently introduces a significant amount of uncertainty about processing time, and processing time is a determinant of capacity. For example, a
  • 47. person waiting in line at a bank may have one or many transactions to perform and may be skilled or unskilled at communicating his or her needs. This variation makes it more difficult to estimate the capacity required to meet customer demands. Third, many services are not transported to the customer, so the customer must come to the service delivery system. This has important implications for the location decision. It also means that capacity decisions should result in adequate space for the customer in the service delivery system. For example, many restaurants use a generous bar area to deal with excess demand in the dining area. .Klaus Lahnstein/Getty Images Services cannot be inventoried and are typically produced and consumed simultaneously. Consequently, service organizations must effectively manage demand. Although it is not the most efficient method, allowing long waiting lines to occur is one way to manage demand. von70154_08_c08_223-256.indd 242 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Service Operations and System Capacity Despite differences, determining system capacity and finding where a bottleneck occurs applies to service as well as manufacturing operations. The principles are the same, but
  • 48. in some cases the application is different. In the following case, managers of an upscale restaurant chain are attempting to determine the capacity of their restaurant. Problem The flow of people through the restaurant follows this sequence. People arrive at the restaurant and park their cars. According to the records that the restaurant keeps, 20% of the guests spend time in the bar. The remaining 80% of the arrivals go directly to the dining area. According to standards that management has developed over the years, each dinner served per hour requires approximately four square feet of kitchen space. Listed below are the resources of the restaurant: Department/Area Capacity/Size Parking area 100 spaces Bar area 80 seats Dining area 200 seats Cooking area 600 square feet On average, 2.2 people arrive per car, only 80% of the seats in the bar are normally available because tables for four are sometimes occupied by two or three people, and only 85% of the dining area seats are normally available for the same reason. The average stay is 90 minutes. Everyone in the dining
  • 49. area orders a meal, and 40% of the people in the bar area order a meal. What is the capacity of the system? To begin, the capacity of each area can be calculated in terms of persons served per hour. Department/Area Capacity/Size Parking area (100 spaces)(2.2 people/car)/(1.5 hrs.) 5 147 people/hr. Bar area (80 seats) (0.8)/(1.5 hrs.) 5 43 people/hr. Dining area (200 seats)(0.85)/(1.5 hrs.) 5 113 people/hr. Cooking area (600 square feet)/(4 square feet/meal) 5 150 people/hr. If every customer spent time both in the bar and in the dining area, the system capacity would be easy to determine because each customer would place demands on each area. This would make the restaurant product layout similar to the steel industry, and the system capacity would be the smallest of the four department’s capacities. However, only a portion of the guests use both the bar and the dining areas. (continued) von70154_08_c08_223-256.indd 243 2/22/13 3:35 PM CHAPTER 8Section 8.3 Determining System Capacity Problem (continued) To calculate the capacity of the system and determine the
  • 50. bottleneck department in this case, the approach illustrated in the medical center example mentioned earlier could be used. That method requires tracking two different flows: one involving the dining area and a second following the bar area. The process begins by selecting a level of demand that the restaurant can satisfy. If it cannot, the demand level is decreased, and another attempt is made. If it can, the demand level is increased. This trial and error method can quickly lead to the capacity if care is used in selecting the demand targets. This trial and error approach could also be used to solve problems, such as the steel industry problem described earlier. Inspecting the department capacities indicates that the system’s capacity cannot exceed 147 people per hour because that is the capacity of the parking lot, and the assump- tion of this model is that all patrons drive. It is also clear that the capacity of the system is at least 100 because all of the department capacities are at least 100, except for the bar area which only serves 20% of the customers. Therefore, the trial and error process begins by setting the arrival rate (demand) equal to 100 people per hour. This means that during each hour 100 people use the parking lot, 20 people use the bar, 80 people use the dining area, and 88 people order a meal. People in the bar that order a meal eat the meal in the bar. None of the individual departments is at capacity, so the analysis continues. The results are shown in the following table: Set Demand Equal To
  • 51. Department Area Capacity (People/ Hr.) 100 (People/ Hr.) 125 (People/ Hr.) 147 (People/ Hr.) 113/0.8 5 141 (People/Hr.) Parking area 147 100 125 147 141 Bar area 43 20 25 29 28 Dining area 113 80 100 118 113 Cooking area 150 88 110 130 124 Next, what happens if demand is set at 125 people/hour? Assume again that none of the departments is at capacity. As a result, the system capacity must be between 125 and 147 people/hour because the parking lot can hold no more than 147. With demand set at 147 people/hour, the parking lot is
  • 52. at capacity, but demand in the dining area exceeds capacity. Bar demand is equal to (147) (0.2) 5 29. Dining demand is equal to (147)(0.8) 5 118. Cooking demand is equal to 118 1 (29)(0.4) 5 130. At this point, the bottleneck is the dining area, but the system capacity is not clear because only some use the dining room. To determine the system capacity, divide the capacity of the dining area by 0.8, which is the percentage of customers that use the dining area. This calculation yields the system capacity, which is 141 people per hour. If the system capacity is set equal to demand and the depart- ment demands are calculated again, the excess capacities in the non-bottleneck departments can be identified. There is considerable excess capacity in the cooking area and in the bar, but the parking lot is near capacity. Expansion plans, if justified by demand, should be aimed at the dining area and the parking lot. von70154_08_c08_223-256.indd 244 2/22/13 3:35 PM CHAPTER 8Section 8.4 Making Capacity Decisions for Competitive Advantage 8.4 Making Capacity Decisions for Competitive Advantage Informed capacity decisions can be made only when management: (1) knows the ability of its present resources, which is achieved by accurately estimating system capacity; (2) knows the bottlenecks and what is causing them; and (3) has an estimate of future demand. The first two topics have been the focus of the chapter to this point. Estimating
  • 53. demand is discussed in the chapter on forecasting. Now, this information can be used to discuss the capacity decisions listed below: • When to add capacity. • How much capacity to add. • Where to add capacity. • What type of capacity to add. When to Add Capacity Many managers argue that determining how much capacity an organization requires should not be difficult. The real problem is obtaining an accurate forecast of demand. These managers believe that once an estimate of demand is obtained, it is simply a matter of setting capacity to meet demand. With knowledge of the point at which demand equals capacity, and an estimate of how long it takes to build additional capacity, management subtracts the lead time to determine when to begin construction. In Figure 8.10, capacity is exceeded two years in the future. If it takes 18 months to add capacity, then manage- ment should begin construction six months from today; however, the answer is not that simple. To avoid compounding the question of when to add capacity with forecasting error, assume that forecasts are guaranteed to be accurate. As management considers the timing decision in Figure 8.10, it should ask the following question: should the capacity be added by the end of the second year? The answer is prob- ably no, for several sound reasons. Management could simply choose not to satisfy all of
  • 54. the demand during the third year. The forecast shows that the significant and long-term increase does not take place until the end of year five. It is possible that the organization has no long-term interest in the market and would choose to allocate resources to other product. On the other hand, failing to fully satisfy demand may not be consistent with a company policy of building market share. If the sales force is asked to increase market share, but operations cannot deliver the product, then long-term damage to the firm’s reputation could result. von70154_08_c08_223-256.indd 245 2/22/13 3:35 PM CHAPTER 8Section 8.4 Making Capacity Decisions for Competitive Advantage Figure 8.10: Capacity versus demand Today 1 Present capacity Forecasted demand Construction lead time 2 3 4 5 6
  • 55. Time (years) N u m b e r o f u n it s If ignoring the excess demand in the third year is not acceptable, then management must find a way to meet that demand. One possibility is to set the production rate higher than demand during the first and second years so that sufficient inventory is created to satisfy demand in the third year. Figure 8.11 illustrates this point. Obviously, this solution is lim- ited to goods production because services have no finished goods inventory. Figure 8.11: Capacity, demand, and production rate Today 1 2 3 4 5 6 Time (years)
  • 57. von70154_08_c08_223-256.indd 246 2/22/13 3:35 PM CHAPTER 8Section 8.4 Making Capacity Decisions for Competitive Advantage Other methods of dealing with the capacity shortfall in the third year can be under- stood by recalling the earlier sections on capacity estimation. Capacity is a variable that is subject to change through management innovation. If the operation runs two shifts five days per week, then overtime or another shift could be considered. Better schedul- ing, improved operating procedures, or improved quality of raw materials can increase capacity. Another important concept to remember is system level capacity. To increase the capacity of a system, it is necessary to increase the capacity of only the bottleneck opera- tion. It may be possible to buy production capacity to supplement the bottleneck opera- tion and increase overall capacity. How Much Capacity to Add If additional capacity is built, how much should be added? Again, assuming that the fore- casted demand is accurate, consider the example in Figure 8.12 when deciding how much capacity to add. In this example, the decision concerning when to add capacity has been made. Construction begins in the middle of the third year, and the new capacity will come on line at the end of the fourth year.
  • 58. Figure 8.12: How much capacity to add Today 1 Option 2 Option 1 Forecasted demand Construction lead time Additional capacity on line Today’s capacity 2 3 4 5 6 Time (years) N u m b e r o f
  • 59. u n it s Option 1 adds only enough capacity to handle the demand in the early part of the fifth year. Option 2 adds enough capacity to handle the increase in the sixth year. Whether Option 1 or Option 2 is selected, the company should understand the importance of focus- ing on the bottleneck to increase system capacity. The financial versus operating tradeoffs of these options are summarized here. von70154_08_c08_223-256.indd 247 2/22/13 3:35 PM CHAPTER 8Chapter Summary Advantages of Option 1 1. Limits short-term investment and risk. Changes in technology will not find the organization with as much capital tied up in outdated technology. 2. Limits unused capacity for which no return on investment is provided. Advantages of Option 2 1. May reduce long-term investment. Building capacity at one time instead of mul-
  • 60. tiple times can help save on total construction costs. 2. May reduce inflationary effects on construction costs by building now. The primary questions associated with Option 2 are: • How long will it be before the capacity is needed? • How likely is it that the forecasted need will occur? • How stable is the technology? A firm producing products in an industry where the product or process technology is likely to change does not want to build plants that limit its long- term ability to compete. The decisions about when to add capacity and how much capacity to add are critical capac- ity decisions that are complicated by the uncertainty in the estimates of future demand. Decision theory, which uses statistics and probability theory, can be used to model these decisions when forecasts are uncertain. Where to Add Capacity The decision on where to add capacity (usually called the location decision) is complex and involves many factors. It is strategically important because it commits significant resources to a location. Great care and consideration should be given to the long-term implications. The location decision is addressed in another chapter. What Type of Capacity to Add In addition to determining how much capacity to add and when to add it, management
  • 61. should consider what type of capacity to add. Type of capacity can be separated into a technological or engineering question and an economy of scale or business question. These topics are the focus of Chapter 7. Chapter Summary • Capacity is a measure of an organization’s ability to provide customers with demanded services and goods in the amount requested and in a timely manner. • Capacity decisions are critical to an organization’s success because they commit significant resources to assets that usually cannot be changed easily or economi- cally. Capacity decisions should be based on the best estimate of the future and should be made so that as much flexibility as possible is retained. • Capacity should also be obtained in the proper amount. Too much capacity means that money has been invested in resources that are not really needed. Too little means that potential sales and market share are lost. von70154_08_c08_223-256.indd 248 2/22/13 3:35 PM CHAPTER 8Case Study • Estimating an organization’s capacity is not easy because capacity is affected by
  • 62. management decisions regarding changing the number of hours worked, chang- ing the product mix, adding staff, improving worker motivation, improving machine capabilities, enhancing quality, and increasing product yield. • Machine and departmental capacities are needed to determine the capacity of the system. The capacity of a system can only be as much as its slowest department, which is the bottleneck. • An increase in system capacity can be achieved by increasing capacity in the bottleneck department. This is called rounding out capacity. • Capacity decisions include the following: when to add capacity, how much capacity to add, where to add capacity, what type of capacity to add, and when to reduce capacity. Case Study Beck Manufacturing Al Beck, president of Beck manufacturing, wants to determine the capacity of his facil- ity, which produces steering gears for auto manufacturers. He has asked you to sort through the data and determine the capacity of the system and how that capacity may be increased. The operation is a product layout that produces large numbers of nearly iden- tical products. The process includes milling, grinding, boring, drilling, and assembling,
  • 63. in that order. Each finished product requires one operation on each type of machine. For example, each finished part is processed on one of the five milling machines, one of the seven grinding machines, etc. The facility runs two 8-hour shifts per day, with a third shift for maintenance. The indus- trial engineering department has provided you with the following data on present opera- tions. In addition, you have been told that assembly operations, while not unlimited, can be easily changed to meet the need. Operation Number of Machines Run Time per Piece (min.) % Reject Rate Milling 5 2 3 Grinding 7 3 5 Boring 3 1 2 Drilling 6 2.5 7 1. Calculate the capacity of each machine center and the capacity of the system. 2. If Beck wants to expand capacity, where should he focus the company’s efforts?
  • 64. How much extra capacity can he get without causing another operation to become the bottleneck? 3. How may Mr. Beck expand capacity without purchasing new equipment? Be specific. von70154_08_c08_223-256.indd 249 2/22/13 3:35 PM CHAPTER 8Problems Discussion Questions 1. What is capacity, and why is it important? 2. Why is it difficult to estimate capacity? Is capacity a constant? Why or why not? 3. Should an organization always attempt to match its capacity to its estimate of demand? Why or why not? 4. Capacity decisions are strategically important. Agree or disagree with the state- ment, and support your position. 5. What factors influence the capacity of an organization? List three factors, and explain how they influence capacity. 6. Explain in detail the difference between departmental and system capacity. 7. What are the principles for determining system capacity in the product layout? 8. What are the principles for determining system capacity in
  • 65. the process layout? 9. How does a change in the product mix effect system capacity? 10. What are the important decisions for capacity planners? 11. What are the key factors that determine when to add capacity? 12. What are the key factors that determine how much capacity to add? 13. Why would an organization want to reduce its capacity? Problems 1. Determine the system capacity and the bottleneck department in the following line flow process. The capacities in pieces per hour for departments A, B, and C are 5,250, 4,650, and 5,300, respectively. A B C 2. Determine the system capacity and the bottleneck department in the following line flow process. The capacities in tons per hour for departments A, B, C, and D are 2,200, 1,100, 1,600, and 2,500, respectively. For each ton of output from depart- ment B that is input to department D, two tons from department C must be added. A B C D
  • 66. 3. Answer the following questions using the information in Problem 2: a. How much can the system capacity be increased by adding capacity to the bottleneck department? b. How much capacity must be added to the bottleneck department to achieve this increase in system capacity? c. Which department is the new bottleneck department? 4. Examine the following line flow process: a. Determine the system capacity. b. Determine which department is the bottleneck. c. Determine how much capacity can be gained by adding capacity to the bottleneck. von70154_08_c08_223-256.indd 250 2/22/13 3:35 PM CHAPTER 8Problems d. Explain your answers to a, b, and c. e. How would the analysis change if department A achieved an 85% yield? Recalculate a, b, and c. DA B C Department
  • 67. Capacity (Parts/Hour) A 120 B 110 C 140 D 160 5. Macro Galvanizing coats sheet steel for the appliance industry in its plant in Gary, Indiana. Macro has one production line that can coat steel up to 72 inches wide. The production line runs 80 hours per week. Regardless of width, the steel is processed at 200 feet per minute. Macro processes only the three widths of steel listed here: Width (in.) Product Mix 36 0.30 50 0.25 60 0.45 a. What is the capacity of Macro’s production line in square feet of steel coated per week? b. What is the capacity in square feet per week if the mix changes to 0.40, 0.40, and 0.20, respectively?
  • 68. c. What is the capacity in square feet per week if the mix does not change and Macro decides to use 10% overtime per week? d. What is the capacity in square feet per week if the mix does not change, there is no overtime, and Macro experiences 5% unplanned downtime? e. What is the capacity in square feet per week if the mix does not change, there is no overtime, and Macro’s engineers find a way to run the line at 220 feet per minute? 6. Monique Food Processing Company produces light snacks that can be heated in a microwave. The following steps are included in the process: Steps Description Capacity (Units/Hour) 1 Prepare food 200 2 Measure and place in plastic pouch 175
  • 69. 3 Prepare cardboard box 200 4 Insert pouch into box 300 5 Shrink-wrap box 200 von70154_08_c08_223-256.indd 251 2/22/13 3:35 PM CHAPTER 8Problems a. What is the system capacity, and which is the bottleneck department? b. How much slack (unused capacity) is available in other departments? c. How much system capacity can be gained by adding capacity to the bottleneck? 7. Botkins Bicycle Shop manufactures 10-speed bikes. The assembly process requires the components listed below. Botkins can assemble approximately 350 bicycles per week without overtime. The labor contract allows Botkins’ manage- ment to add up to 10% overtime to assembly operations. Component Quantity per Finished Bicycle
  • 70. Source Capacity (Units/Week) Wheels 2 Internal 750 Tires 2 External 900 Frame 1 Internal 400 Brakes 2 External 950 Handle bars 1 Internal 600 Pedal and drive sprocket subassembly 1 Internal 500 a. What is the capacity of the facility without using overtime? Which is the bottleneck department(s)? b. What is the capacity of the facility with overtime? Which is the bottleneck department(s)? c. What increases in department capacity would be required to increase system capacity to 450 units per week? 8. The Mills Brothers Cereal Company makes a wheat and raisin cereal on one of its production lines. One pound of raisins is required for four
  • 71. pounds of wheat flakes in order to make five pounds of cereal. The following steps are included in the process: Step Description Capacity (Pounds/Hour) A Crush wheat 1,400 B Form flakes 1,200 C Toast flakes 1,600 D Coat raisins 250 E Mix cereal and raisins 1,200 F Put mixture in box 1,100 G Place boxes in shipping containers 1,400 von70154_08_c08_223-256.indd 252 2/22/13 3:35 PM CHAPTER 8Problems
  • 72. F GEA B C D a. What is the system capacity, and which is the bottleneck department? b. How much slack (unused capacity) is available in other departments? c. How much system capacity can be gained by adding capacity to the bottleneck? 9. White Chemical has a problem with its operations. Analyze the following flow process: GEA B D FC 1 Pa rt 1 Pa rt 1 Pa rt
  • 73. 2 Pa rts Department Capacity (Gallons/hour) A 100 B 60 C 50 D 120 E 100 F 40 G 140 The ratio for mixing the outputs from departments E and F is 2:1. This means that getting three gallons out of G requires mixing two gallons of E’s output and one gallon of F’s output. The ratio for departments B and C is 1:1. a. What is the system’s capacity? b. Which department(s) is the bottleneck? c. How much slack (unused capacity) is available in the other departments?
  • 74. d. How much system capacity can be gained by adding capacity to the bottleneck? von70154_08_c08_223-256.indd 253 2/22/13 3:35 PM CHAPTER 8Problems 10. Platinum Refining and Chemical Company is examining its pesticide plant. At this time, the company is unable to satisfy customer demand for a new insect spray. You have been asked to spend some time at the facility to determine how output can be increased. Analyze the following line flow process: J I HFA B E GC D Department Capacity (Gallons/Hour)
  • 75. A 300 B 250 C 200 D 250 E 600 F 550 G 600 H 1,100 I 300 J 1,200 The ratio for mixing the outputs from departments B, C, and D is 2:2:1, respec- tively. This means that making five gallons for department E requires mixing two gallons of B’s output, two gallons of C’s output, and one gallon of D’s output. The ratio for departments F and G is 1:1. The ratio for departments H and I is 4:1. a. What is the system capacity, and which is the bottleneck department? b. How much slack (unused capacity) is available in other departments? c. How much system capacity can be gained by adding capacity to the bottleneck?
  • 76. 11. Bauer Electric makes integrated circuits for the computer industry. Currently, the process for making circuits yields 80% good parts. The facility has the capacity to produce 2,000,000 units per year, including both good and bad units. The vari- able cost is $2.00 per unit. The annual fixed cost is $10,000,000. The selling price is $12.00 per unit. Currently, the market demand exceeds the units available. a. If Bauer Electric works at capacity, what is the total amount of units produced in one year that meet specifications? von70154_08_c08_223-256.indd 254 2/22/13 3:35 PM CHAPTER 8Key Terms bottleneck The department, workstation, or operation that limits the flow of prod- uct through the production system. This department restricts the flow of product from upstream departments and starves downstream departments. capacity A measure of the organiza- tion’s ability to provide customers with the demanded services or goods, in the amount requested and in a timely man- ner. Capacity is the maximum rate of production.
  • 77. machine constrained The machine is holding back production. The equipment is operating for all the available time at its best speed while the operator has some idle time. product mix The percent of total demand or output that is devoted to each product. rounding out capacity Adding capac- ity to a bottleneck department to increase the capacity of a system by bringing the capacity of the bottleneck department into balance with the other departments. system capacity The ability of the organi- zation to produce a sufficient number of goods and services to meet the demands of customers. yield The ratio of the quantity of output to the quantity of input. b. If the yield can be increased from 80% to 90%, how much does the unit cost for a circuit change? c. If the yield can be increased from 80% to 90% and demand is unlimited, how much will profits increase? d. If the yield can be increased from 80% to 90% and demand is 1,600,000 units, what is the impact on profits? e. Why is there such a difference between the answers to c and
  • 78. d? 12. McComas Educational Service provides training to pass the bar exam. The com- pany offers a money back guarantee if a student does not pass on the first try. Currently, 60% pass the exam. The company is working on some computer-based training that could increase the pass rate to 80%. The cost of the service is $800, and 10,000 first-time students enroll in the course each year. Demand has grown at about 5% per year. The variable cost is only $100, and the annual fixed cost is $2,000,000. For the current cost structure, capacity is 12,000 students per year. a. Currently, how many first-time students pass the test each year? b. If the pass rate increases from 60% to 80%, how much will profits increase? c. Should McComas consider reducing capacity? Key Terms von70154_08_c08_223-256.indd 255 2/22/13 3:35 PM von70154_08_c08_223-256.indd 256 2/22/13 3:35 PM NSG 5000 Advanced Nurse Role Assignment 3: Proposal for Change Paper Purposes: · Demonstrate understanding of the role the graduate level nurse
  • 79. has as leader in creating change in population health. Objectives: Course: 2. Apply leadership, change, and decision making theories to improve health delivery outcomes. 3. Examine influences that affect population health. 4. Employ communication and collaboration strategies to improve patient and population health outcomes. The purpose of writing this proposal for change paper is to explore various strategies for change related to the topic of interest issue in assignment 2, and describe the change you propose, as well as the rationale for this change. This paper will build on assignment 2. Directions: 1. Write a 4-5 page paper, not including title and reference pages: a. Using the literature review findings you identified in Assignment 2, describe the change you propose and the rationale for this change. Use a change model (SEE BELOW) to guide the development of the plan. Be specific in describing the plan for change; why it is necessary, the elements of the plan, and its effect on population health. The rationale should be supported with information from peer-reviewed journals within the last 5 years. b. The advanced nurse leader will be directing this change. Describe HOW you will enact this change. Detail which specific communication and collaboration strategies will be used to enact the change. Use the literature to support the strategies; again find at least 2 peer-reviewed sources. c. Describe the possible advantages and disadvantages of the change; include the effect the change will have on population health. Support the perceived impact of the change with peer- reviewed sources. 1. The paper should be typed in 12 point font, double-spaced, in
  • 80. Microsoft Word, with a title page and reference page. APA format must be used. Please use headings to organize your paper. Please use headings to organize your paper. Review the PowerPoint presentations on Scholarly writing and APA in week 1. 2. NOTE: any pages that exceed the page limit will not be read. INCORPORATE ONE OF THESE THEORIES IN YOUR PLAN FOR CHANGE ASSIGNMENT Implementing Change Heraclitus said “the only thing that is constant is change.” Change is a part of life, whether it is in your personal of professional life. As you become a nurse in an advanced practice role, you will be seen as a leader, and that include leading change. In order to understand how facilitate change, it is important to review some of the characteristics of change agents. Change agents don’t want to maintain the status quo, but see themselves a leader of change. Change agents are courageous, they are able to manage uncertainty, complex and or ambiguous situations. They learn from their mistakes and have a vision for the future. (Daft, 2015). Leaders recognize that they need to develop a plan in order to implement change and that change goes through different stages. In order to develop a better understanding of change. There are several change theories or models which can be applied to change. Lasting change does not occur overnight. Here are several theories or models for change. There are numerous resources online which can provide more in depth information about each one. When completing Assignment 3, incorporate one of these in your plan for change. · Reddin’s Theory
  • 81. · Lewin’s theory · Roger’s Theory · Lippitt’s theory · McKinsey’ Sever Step Model · Kotter’s Eight Step Change Model “Those who cannot change their minds cannot change anything.” George Bernard Shaw Reference Daft, R.L. (2015). The leadership experience. Stamford, CT: Cengage Learning. NSG 5000 Advanced Nurse Role Proposal for Change Paper Rubric (graded on a 0-100 point scale) 30% of course grade Name______________________________ Total: _____________ 10 8 6 4 2 0 Assignment Information Assignment is explicit, focused, and includes all assignment criteria . Assignment is clear and maintains focus throughout. Minor lapses in focus or relevancy to assignment criteria
  • 82. Assignment is generally clear, explicitly stated, but has several lapses in focus and relevancy to assignment criteria Assignment loses focus r has major lapses in relevancy to assignment criteria Assignment is unclear or confusing. Minimally meets assignment criteria Does not meet assignment criteria 20 16 12 8 4 0 Quality of Information Discussion is developed and is clearly supported by the literature. No lapses in logical progression of information. Contains specific, well developed information. It includes several supporting details and/or examples There are minor lapses in either the development of the discussion or in the support by the literature. No lapses in logical progression of information. It includes some supporting details and/or examples There are minor lapses in both the development of the discussion and in the support by the literature. It includes some supporting details and/or examples There are major lapses in either the development of the discussion or in the support by the literature. No lapses in logical progression of information. It includes minimal supporting details and/or examples
  • 83. There are major lapses in both the development of the discussion and in the support by the literature. No lapses in logical progression of information. It includes minimal supporting details and/or examples Discussion of Information lacks organization 5 4 3 2 1 0 Sources All references are from relevant peer-reviewed sources, within a 5 year time frame or are classic sources. The majority of references is from relevant peer-reviewed sources, within a 5 year time frame or are classic sources. Some references are from non-peer-reviewed sources or are older than 5 years. Majority of references is from non-peer-reviewed sources or are older than 5 years. Minimal use of peer-reviewed sources. Majority of references are older than 5 years, or course textbooks. No use of sources 10 8 6 4 2
  • 84. 0 Quality of Writing Information is very organized with well-constructed paragraphs and subheadings. Skillful use of precise and purposeful vocabulary. Skillful use of sentence fluency. Information from references is paraphrased. Minor lapses in either organization or paragraph construction. Vocabulary is precise and purposeful Minor lapses in sentence fluency. Majority of information from references is paraphrased. Direct quotes are used sparingly. Minor lapses in both organization and paragraph construction. Minor lapses in sentence fluency. Majority of information from references is paraphrased. Some use of direct quotes. Major lapses in either organization or paragraph construction. Major lapses in sentence fluency. Information from references is paraphrased and direct quotes are used in equal proportion. Major lapses in both organization and paragraph construction. Many grammatical, spelling, and formatting errors. Minimal use of sentence fluency. Majority of information from references is quoted directly with minimal use of paraphrasing. Incomplete or Illegible. Majority of information from references is direct quotes. 5 4 3 2 1 0 APA Skillful and proficient use of APA formatting of text. References are cited correctly follow APA format
  • 85. Minimal problems with APA formatting of text or minor lapses in citation of references using APA format There are minor lapses in APA formatting of text and citation of references using APA format There are major problems with APA formatting of text or major lapses in citation of references using APA format There are major lapses in APA formatting of text and citation of references using APA format No use of APA formatting or reference citation