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

The feasible region is the shaded area in the diagram below. The boundary lines for this region are 8X1 + 4X2 = 160 (line AB) and X1 = 0 (line AC). The line AB represents a constraint of 8X1 + 4X2 ≤ 160 because it is the boundary for the region where this inequality is true. Therefore, choice D is the correct answer.

![Graph](https://i.imgur.com/YaJH8aX.png)

The Feasible Region in the Diagram Below Is Consistent with Which