A linear programming problem has an objective function of 10X + 12Y.If the optimal solution provided by the model is to produce and sell 400 units of X and 1,000 units of Y,what is the expected return?
A)$1,400
B)$14,800
C)$16,000
D)$40,800

Question

Quizplus · Accepted Answer

The expected return can be calculated by multiplying the optimal values of X and Y with the coefficients of the objective function and adding them up.

Expected return = 10(400) + 12(1000) = 4000 + 12000 = $16,000

Therefore, the answer is (C) $16,000.

A Linear Programming Problem Has an Objective Function of 10X