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 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 pricesvalid?

Transcribed Image Text:

Processing Time (hr) Product Department A Department B Material (yd Shirts Shorts Pants