Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a

Question

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 400 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 200 hours available in its packaging and shipping department. The production time requirements 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:

Production Time (Hours)
Model Cutting and
Sewing
Finishing Packaging and
Shipping
Profit/Glove Regular model 1/8 1 1/2 $5 Catcher's model 1/2 1/2 3/2 $7

Explanation / Answer

a) The linear programming model for this problem Let R = number of units of regular model. C = number of units of catcher's model. Max R + C = 5R + 7C s.t. R + C - (1/8)R + (1/2)C = 400   Cutting and sewing R + C - 1R + (1/2)C = 300   Finishing R + C - (1/2)R + (3/2)C = 200   Packing and Shipping R,C > 0 b) regular model catcher model using solver in excel 0.125 0.5 55

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