MAT 540 Strayer University- Assignment #1: JET Copies Case Problem

Question # 00002271 Posted By: mac123 Updated on: 10/13/2013 03:52 PM Due on: 10/15/2013
Subject Mathematics Topic General Mathematics Tutorials:
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Read the “JET Copies” Case Problem on pages 678-679 of the text. Using simulation estimate the loss of revenue due to copier breakdown for one year, as follows:

In Excel, use a suitable method for generating the number of days needed to repair the copier, when it is out of service, according to the discrete distribution shown.

In Excel, use a suitable method for simulating the interval between successive breakdowns, according to the continuous distribution shown.

In Excel, use a suitable method for simulating the lost revenue for each day the copier is out of service.

Put all of this together to simulate the lost revenue due to copier breakdowns over 1 year to answer the question asked in the case study.

In a word processing program, write a brief description/explanation of how you implemented each component of the model. Write 1-2 paragraphs for each component of the model (days-to-repair; interval between breakdowns; lost revenue; putting it together).

Answer the question posed in the case study. How confident are you that this answer is a good one? What are the limits of the study? Write at least one paragraph.

JET Copies

James Banks was standing in line next to Robin Cole at Klecko’s

Copy Center, waiting to use one of the copy machines. “Gee,

Robin,I hate this,”he said.“We have to drive all the way over here

from Southgate and then wait in line to use these copy machines.

I hate wasting time like this.”

“I know what you mean,”said Robin.“And look who’s here.A

lot ofthese students are from Southgate Apartments or one ofthe

other apartments near us. It seems as though it would be more

logical ifKlecko’s would move its operation over to us,instead of

all ofus coming over here.” Case Problems 679

James looked around and noticed what Robin was talking

about. Robin and he were students at State University, and most

of the customers at Klecko’s were also students. As Robin

suggested, a lot of the people waiting were State students who

lived at Southgate Apartments,where James also lived with Ernie

Moore.This gave James an idea,which he shared with Ernie and

their friend Terri Jones when he got home later that evening.

“Look,you guys,I’ve got an idea to make some money,”James

started. “Let’s open a copy business! All we have to do is buy a

copier, put it in Terri’s duplex next door, and sell copies. I know

we can get customers because I’ve just seen them all at Klecko’s.

Ifwe provide a copy service right here in the Southgate complex,

we’ll make a killing.”

Terri and Ernie liked the idea, so the three decided to go into

the copying business. They would call it JET Copies, named for

James, Ernie, and Terri. Their first step was to purchase a copier.

They bought one like the one used in the college ofbusiness office

at State for $18,000. (Terri’s parents provided a loan.) The com-

pany that sold them the copier touted the copier’s reliability, but

after they bought it,Ernie talked with someone in the dean’s office

at State,who told him that the University’s copier broke down fre-

quently and when it did,it often took between 1 and 4days to get

it repaired.When Ernie told this to Terri and James,they became

worried. If the copier broke down frequently and was not in use

for long periods while they waited for a repair person to come fix

it, they could lose a lot of revenue. As a result, James, Ernie, and

Terri thought they might need to purchase a smaller backup

copier for $8,000 to use when the main copier broke down.

However,before they approached Terri’s parents for another loan,

they wanted to have an estimate of just how much money they

might lose if they did not have a backup copier. To get this esti-

mate, they decided to develop a simulation model because they

were studying simulation in one oftheir classes atState.

To develop a simulation model,they first needed to know how

frequently the copier might break down—specifically, the time

between breakdowns. No one could provide them with an exact

probability distribution,but from talking to staffmembers in the

college ofbusiness,James estimated that the time between break-

downs was probably between 0 and 6 weeks,with the probability

increasing the longer the copier went without breaking down.

Thus,the probability distribution ofbreakdowns generally looked

like the following:

Next, they needed to know how long it would take to get the

copier repaired when it broke down. They had a service contract

with the dealer that “guaranteed”prompt repair service. However,

Terri gathered some data from the college of business from which

she developed the following probability distribution ofrepair times:

Repair Time (days) Probability

1 .20

2 .45

3 .25

4 .10

1 .00

Finally, they needed to estimate how much business they would

lose while the copier was waiting for repair. The three of them had

only a vague idea of how much business they would do but finally

estimated that they would sell between 2,000 and 8,000 copies per day

at $0.10 per copy. However, they had no idea about what kind of

probability distribution to use for this range ofvalues.Therefore,they

decided to use a uniform probability distribution between 2,000 and

8,000 copies to estimate the number ofcopies they would sell per day.

James,Ernie,and Terri decided that iftheir loss ofrevenue due to

machine downtime during 1 year was $12,000 or more, they should

purchase a backup copier. Thus, they needed to simulate the break-

down and repair process for a number of years to obtain an average

annual loss ofrevenue.However,before programming the simulation

model,they decided to conduct a manual simulation ofthis process for

1 year to see ifthe model was working correctly.Perform this manual

simulation for JET Copies and determine the loss ofrevenue for 1 year.

(Bernard W. Taylor. Introduction to Management Science, 10th Edition. Prentice Hall/CourseSmart, 02/23/2009. 678 - 679).

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