Number 24

a. Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribu- tion to profit. b. Solve the problem graphically. What is the optimal solution? c. Which constraints are binding? 24. Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regu- lar 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 requirements and the profit contribution per glove are given in the following table: -F test Model Regular model Catcher's model Production Time (hours) Cutting Packaging and Sewing Finishing and Shipping 1 2 V 32 13 14 Profit/Glove $5 $8 Assuming that the company is interested in maximizing the total profit contribution, an- swer 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? 25. George Johnson recently inherited a large sum of money, he wants to use a portion of hieman