PROCESSING TIME (HR) Product Department A Department B Material (yd) Shirts 1 2 Shorts 3 1 Pants 4 4 2. 2. 3.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Polly Astaire makes fine clothing for big and tall men. A few
years ago Astaire entered the sportswear market with the
Sunset line of shorts, pants, and shirts. Management wants to
make the amount of each product that will maximize profits.
Each type of clothing is routed through two departments, A
and B. The relevant data for each product are as follows:

Department A has 120 hours of capacity, department B has
160 hours of capacity, and 90 yards of material are available.
Each shirt contributes $10 to profits and overhead; each pair
of shorts, $10; and each pair of pants, $23.
a. Specify the objective function and constraints for this
problem.
b. Use a computer package such as POM for Windows to
solve the problem.
c. How much should Astaire be willing to pay for an extra
hour of department A capacity? How much for an extra
hour of department B capacity? For what range of right-
hand values are these shadow prices valid?

PROCESSING TIME (HR)
Product Department A Department B
Material (yd)
Shirts
1
2
Shorts
3
1
Pants
4
4
2.
2.
3.
Transcribed Image Text:PROCESSING TIME (HR) Product Department A Department B Material (yd) Shirts 1 2 Shorts 3 1 Pants 4 4 2. 2. 3.
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