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TMC makes softballs and baseballs. In order to make each type of ball, leather,

ID: 2958602 • Letter: T

Question

TMC makes softballs and baseballs. In order to make each type of ball, leather, nylon, wood chips, and machine time and labor are needed. The requirement for each item and the resources available are shown in the following table:
Item Softball baseball Available
Leather 6 4 6,000 ounces
Nylon 8 3 5,000 yards
Wood chips 10 2 5,000 ounces
Labor 3 2 3,600 minutes
Machine 1 1 2,000 minutes

Softballs sell for $17 dollars each, baseballs sell for $15 dollars each.
Formulate a liner programming model that can be used to determine the number of each type of ball to produce in order to maximize revenue.

Explanation / Answer

Let X be Softballs produced and Y be Baseballs produced. Then: Leather Constraints - 6X+4Y