Given the following linear programming problem that minimizes cost:
Min Z = 2x + 8y
Subject to (1) 8x + 4y ? 64
&emsp; &emsp;&emsp; &emsp;(2) 2x + 4y ? 32
&emsp; &emsp;&emsp; &emsp;(3) y ? 2
-What is the sensitivity range for the third constraint, y ≥ 2?
A) 0 to 4
B) 2 to 5.33
C) 0 to 5.33
D) 4 to 6.33

Question

Quizplus · Accepted Answer

The sensitivity range for the third constraint, y ≥ 2, is 0 to 5.33. This is because the optimal solution to the linear programming problem is (x, y) = (4, 2), and the shadow price for the third constraint is 5.33. This means that the optimal solution will remain feasible if the right-hand side of the third constraint is increased by any amount between 0 and 5.33.

Given the Following Linear Programming Problem That Minimizes Cost