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
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:
Q1. Write down the decision variables.
Q2. Write down the optimization statement for the objective function.
Q3. Write down the constraints.