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 Production Time (Hours) Cutting and Packaging and Model Regular model Catcher's model 1/2 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? If required, round your answers to 3 decimal places or enter your answers as a fraction Sewing Finishing Shipping Profit/Glove 1/8 1/2 $5 3/2 $7 Let R C Max number of units of regular model. number of units of catcher's model 5 7 Cutting and sewing Finishing Packing and Shipping 1/8OPR 400 300 1/2 OR+ 200

Explanation / Answer

Solution : Solving this by graphically you get

That means Regular model = 280 units and catuher model = 40 units.

C ) Profit = $1680

d) cutting and sewing = 50 hours

e) slack time  

cutting and sewing = 350 hours

Finishing = 0 hours

Packing and shipping = 0 hours.

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