Question: 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 per glove are given in the following table.
|
Model
|
Production Time (hours)
|
Profit/Glove
|
|
Cutting
and Sewing
|
Finishing
|
Packaging
and Shipping
|
|
Regular Model
|
1
|
0.5
|
0.125
|
$5
|
|
Catcher's model
|
1.5
|
0.33
|
0.25
|
$8
|
|
Capacity available
|
900
|
300
|
100
|
|
The company is interested in maximizing the total profit, formulate a linear programming model for this problem and solve it using Excel?