Objective function: Maximize:

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 130 hours of capacity, department B has 160 hours of capacity, and 100 yards of material are available. Each shirt contributes $11 to profits and overhead; each pair of shorts, $12; and each pair of pants, $25. a. Let X1= number of shirts produced, X2= number of shorts produced X3= number of pants produced. Specify the objective function and constraints for the problem. Objective function: Maximize Z=X1+X2+X3