Consider the following constraints from a two-variable Linear Program.
(1) X ≥ 0
(2) Y ≥ 0
(3) X + Y ≤ 50
If constraints (2) and (3) are binding, what is the optimal solution (X, Y)?
A) (0, 0)
B) (0, 50)
C) (50, 0)
D) (50, 50)
E) not enough information is provided to answer the problem

Question

Quizplus · Accepted Answer

If constraints (2) and (3) are binding, that means Y is at its maximum value of 50 and X cannot exceed 0 because of constraint (3). Therefore, the optimal solution is (50,0).

Consider the Following Constraints from a Two-Variable Linear Program