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The Mantell Company: Linear programming problem

The Mantell Company makes softballs and baseballs. Softballs sell for $17 each, and baseball sell for $15 each. Making a ball of any kind requires leather, nylon, wood chips, labor and machine time. The requirements for each ball type and the resources available are show in the following table:

Item Softball
Requirement Baseball
Requirement Available
Leather 6 ounces 4 ounces 6000 ounces
Nylon 8 yards 3 yards 5000 yards
Wood Chips 10 ounces 2 ounces 5000 ounces
Labor 3 minutes 2 minutes 3600 minutes
Machine 1 minute 1 minute 2000 minutes

The company wishes to use LP to determine the optimal number of each type of ball to produce in order to maximize revenue.

Answer the following questions:
1.1) (2 points) Write down the decision variables.
1.2) (3 points) Write down the optimization statement for the objective function.
1.3) (5 points) Write down the constraints.


Solution Summary

This posting contains solution to following problem on linear programming.