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 bounded by the lines 8X1 + 4X2 = 160, X1 = 0, and X2 = 0.
We can see that the line 8X1 + 4X2 ≤ 160 also passes through this feasible region, as it is below the line 8X1 + 4X2 = 160. Therefore, D is the correct constraint that is consistent with this feasible region.

The Feasible Region in the Diagram Below Is Consistent with Which