Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher"s model.
The firm has 900 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 per glove are given in the following table:
| Production Time (hours) |
Model |
Cutting
and Sewing |
Finishing |
Packaging
and Shipping |
Profit/Glove |
| Regular model |
1 |
1/2 |
1/8 |
$5 |
| Catcher's model |
3/2 |
1/3 |
1/4 |
$8 |
Assuming that the company is interested in maximizing the total profit contribution:
1. Formulate a linear programming model (Mathematical model for this decision problem.
2. Solve the model using the Management Scientist software program.
3. Based on the results of the model, make a recommendation to the manufacturing manager of Kelson Sporting Equipment, inc.