A linear programming problem has an objective function of 12X + 14Y. If the optimal solution provided by the model is to produce and sell 500 units of X and 1,250 units of Y, the expected return is
A) $1,750.
B) $23,500.
C) $15,000.
D) $27,000.

Question

Quizplus · Accepted Answer

The expected return is equal to the value of the objective function at the optimal solution. Therefore, we have:
Expected return = 12X + 14Y
Expected return = 12(500) + 14(1250)
Expected return = 6000 + 17500
Expected return = $23,500

A Linear Programming Problem Has an Objective Function of 12X