Question: A computer company has two manufacturing plants, one in Houston and one in Queens. Packaging a computer in Houston takes 1.5 hours and costs $15,

A computer company has two manufacturing plants, one in Houston and one in Queens. Packaging a computer in Houston takes 1.5 hours and costs $15, while packaging a computer in Queens takes 2 hours and costs $30. The profit on each computer manufactured in Houston is $40, and the profit on each computer manufactured in Queens is $30. The Houston plant has 80 computers available, and the Queens plant has 120 computers available. If there are 210 hours and $3000 allotted for packaging the computers, how many computers should be packaged at each of the two plants to maximize the companys profits?

a) Setup the linear programming problem (objective function and all the constraints)

b) Sketch the feasible set while showing all vertices.

c) Solve the linear programming problem to find the maximum profit.

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