linear program

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher '5 model. The firm has 900 hours of production time available in its cut- ting 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 prot contribution per glove are given in the following table. Produution Time {hours} Cutting Packaging Mode] and Sewing Finishing and Shipping Profit fG-love Regular model 1 1/3 1/3 $5 Catcher's model % 1/a '4 $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 prot contribution Kelson can earn with the listed production quantities? d. How many hours of production time will be scheduled in each department? e. What is the slack time in each department