Demand for rug-cleaning machines at Clyde’s U-Rent-It is shown in the following table. Machinesare rented by the day only. Profit on the rug cleaners is $10 per day. Clyde has four rug-cleaningmachines.Demand Frequency0 .301 .202 .203 .154 .105 .051.00a. Assuming that Clyde’s stocking decision is optimal, what is the implied range of excess costper machine?b. Your answer from part a has been presented to Clyde, who protests that the amount is too low.Does this suggest an increase or a decrease in the number of rug machines he stocks? Explain.c. Suppose now that the $10 mentioned as profit is instead the excess cost per day for eachmachine and that the shortage cost is unknown. Assuming that the optimal number ofmachines is four, what is the implied range of shortage cost per machine?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Demand for rug-cleaning machines at Clyde’s U-Rent-It is shown in the following table. Machines
are rented by the day only. Profit on the rug cleaners is $10 per day. Clyde has four rug-cleaning
machines.
Demand Frequency
0 .30
1 .20
2 .20
3 .15
4 .10
5 .05
1.00
a. Assuming that Clyde’s stocking decision is optimal, what is the implied range of excess cost
per machine?
b. Your answer from part a has been presented to Clyde, who protests that the amount is too low.
Does this suggest an increase or a decrease in the number of rug machines he stocks? Explain.
c. Suppose now that the $10 mentioned as profit is instead the excess cost per day for each
machine and that the shortage cost is unknown. Assuming that the optimal number of
machines is four, what is the implied range of shortage cost per machine?

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