Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 35

In Problem:
a. Suppose Shirtstop decided it wanted to minimize the defective shirts while keeping costs below $2,000. Reformulate the problem with these changes and solve graphically.
b. How many fewer defective items were achieved with the model in (a) than with the model in Problem
Problem
Shirtstop makes T-shirts with logos and sells them in its chain of retail stores. It contracts with two different plants-one in Puerto Rico and one in The Bahamas. The shirts from the plant in Puerto Rico cost $0.46 apiece, and 9% of them are defective and can't be sold. The shirts from The Bahamas cost only $0.35 each, but they have an 18% defective rate. Shirtstop needs 3,500 shirts. To retain its relationship with the two plants, it wants to order at least 1,000 shirts from each. It would also like at least 88% of the shirts it receives to be salable.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.