The feasible region in the diagram below is consistent with which one of the following constraints?

A) 8X1 + 4X2 ≥ 160
B) 4X1 + 8X2 ≤ 160
C) 8X1 - 4X2 ≤ 160
D) 8X1 + 4X2 ≤ 160
E) 4X1 - 8X2 ≤ 160

Question

The feasible region in the diagram below is consistent with which one of the following constraints?

A) 8X1 + 4X2 ≥ 160 
B) 4X1 + 8X2 ≤ 160 
C) 8X1 - 4X2 ≤ 160 
D) 8X1 + 4X2 ≤ 160 
E) 4X1 - 8X2 ≤ 160

Quizplus · Accepted Answer

We can see from the graph that the feasible region is below the line 8X1 + 4X2 = 160, which means that any point in that region would satisfy the inequality 8X1 + 4X2 ≤ 160. Therefore, the correct choice is D.

The Feasible Region in the Diagram Below Is Consistent with Which