Problem 11-1 Kelson Sporting Equipment, Inc., makes two different types of baseb

Question

Problem 11-1

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 800 hours of production time available in its cutting and sewing department, 150 hours available in its finishing department, and 400 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:

I already solved part A, I just really need help with the rest of the problem. Thanks!

Production Time (Hours)
Model Cutting and
Sewing
Finishing Packaging and
Shipping
Profit/Glove Regular model 1 1/4 1/6 $5 Catcher's model 1/2 1/2 1/4 $7

Explanation / Answer

(a) Max = 5R + 7C

1R + 1/2 C <= 800

1/4 R + 1/2 C <= 150

1/6 R + 1/4 C < = 400

(b) Regular Model = 600 units

Catcher's Model = 0 units

(c) What is the total profit contribution Kelson can earn with the given production quantities?

Total profit = 600 * 5 = $ 3000

(d)

(e)

300

R C Total Max Avail Revenue 5 7 Output 600 0 C & S 1 2 600 800 Finishing 0.25 0.5 150 150 P & S 0.166667 0.25 100 400

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