In an LP problem, the goal is to maximize the objective function 2S + 3T, subject to the binding constraints S + T ≤ 700 and S + 2T ≤ 1,000. The optimal solution is:
A) S = 400 and T = 300.
B) S = 200 and T = 600.
C) S = 700 and T = 0.
D) S = 0 and T = 500
E) S = 500 and T = 200

Question

Quizplus · Accepted Answer

To find the optimal solution, we can substitute the values of S and T from each option into the objective function and the constraints. Option A, S = 400 and T = 300, gives the highest value of the objective function (2*400 + 3*300 = 1700) while satisfying both constraints (400 + 300 = 700, which is ≤ 700, and 400 + 2*300 = 1000, which is ≤ 1000).

In an LP Problem, the Goal Is to Maximize the Objective