An Introduction to Management Science 13th Edition by David Anderson,Dennis Sweeney ,Thomas Williams ,Jeffrey Camm, Kipp Martin

Exercise 38

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves; a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirement and the profit contribution per glove are given in the following table:
Assuming that the company is interested in maximizing the total profit contribution, answer the following:
a. What is the linear programming model for this problem?
b. Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture?
c. What is the total profit contribution Kelson can earn with the given production quantities?
d. How many hours of production time will be scheduled in each department?
e. What is the slack time in each department?