Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a
ID: 2909911 • Letter: K
Question
Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 600 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 3/2 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 1/2 1/6 $4 1/2 $8 Let R-number of units of regular model C number of units of catcher's model Max s.t CSelect your answer CSelect your answer c -select your answer- Cutting and sewing Finishing Packing and Shipping Select your answer-0Explanation / Answer
Answer
A.
Max $4*R + $8*C as you want to maximize the total profit, the constraint would be the given hrs for each dept
0.5*R + 1.5*C = 600
1.0*R + 0.5*C = 300
0.1667*R + 0.5C = 200
B. Regular Model = 120 units, Catcher's Model = 360 units
C. $ 3360
D.
Production Time
Cutting and sewing = 600 hrs
Finising = 300 hrs
packing and shipping = 200 hrs
e)
Slack Time
Cutting and sewing = 0 hrs
Finising = 0 hrs
packing and shipping = 0 hrs
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