A linear programming problem has an objective function of 10a + 12b. If the optimal solution provided by the model is to produce and sell 400 units of a and 1,000 units of b, the expected profit is:
A)£1,400.
B)£14,800.
C)£16,000.
D)£40,800.

Question

Quizplus · Accepted Answer

The expected profit is calculated by substituting the values of a and b into the objective function: 10(400) + 12(1000) = 4000 + 12000 = £16,000.

A Linear Programming Problem Has an Objective Function of 10a