Question

In: Operations Management

Kelson Sporting Equipment, Inc., makes two different models of baseball gloves: a regular glove and a...

Kelson Sporting Equipment, Inc., makes two different models of baseball gloves: a regular glove and a catcher’s mitt. The firm has 1000 hours of production time available in its cutting 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 profit contribution for each product are:

Production Time (hours)

Model

Cutting and Sewing

Finishing

Packaging and Shipping

Profit/Glove

Regular glove

1

1/2

1/8

$6

Catcher's unit

3/2

1/3

1/4

$9

Assume that the company is interested in maximizing the total profit contribution.

  1. Formulate a mathematical model for this problem.
  2. How many gloves of each model should Kelson manufacture?
  3. What is the total profit contribution Kelson can earn with the above production quantities?
  4. How many hours of production time will be scheduled in each department?

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