Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company

Question

Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:

Maximize profit = 50x +60y

Subject to 8x 10y ?_<800 (labor hours)

X + y _<120 ( total units demanded)

4x +10y _<500 raw materials

X,y_>0

The optimal solution is X=100, Y=0.

Which of these constraints is redundant?

Select one:

the third constraint

b. None of these

c. the first constraint

d. the second constraint

e. All of these

Explanation / Answer

c. the first constraint

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