I need a detailed assistance to solve this 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. a) Write down the decision variables. b) Write down the optimization statement for the objective function. c) Write down the constraints.
I need a detailed assistance to solve this 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.
a) Write down the decision variables.
b) Write down the optimization statement for the objective function.
c) Write down the constraints.
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