A linear programming problem has the following objective function: 20X + 40Y + 60Z. If the optimal solution provided by the model is to produce and sell 100,200,and 300 units of X,Y,and Z,respectively,what is the expected return?
A)$120
B)$24,000
C)$28,000
D)$36,000

Question

Quizplus · Accepted Answer

To find the expected return, we need to evaluate the objective function at the optimal solution provided by the model, which is to produce and sell 100 units of X, 200 units of Y, and 300 units of Z.

Plugging in these values, we get:

20(100) + 40(200) + 60(300) = 2,000 + 8,000 + 18,000 = 28,000

Therefore, the expected return is $28,000.

The best choice is C.

A Linear Programming Problem Has the Following Objective Function: 20X