Supply chain logistics - linear programming

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
Resource
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.

Attached file(s):

The Mantell Company - linear programming.doc  View File