The feasible region in the diagram below is consistent with which one of the following constraints?
A) 8X1 + 4X2 ≤ 160
B) 8X1 + 4X2 ≥ 160
C) 4X1 + 8X2 ≤ 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) 8X1 + 4X2 ≥ 160 
C) 4X1 + 8X2 ≤ 160 
D) 8X1 - 4X2 ≤ 160 
E) 4X1 - 8X2 ≤ 160

Quizplus · Accepted Answer

The feasible region is the shaded area bordered by the lines. We can see that the feasible region lies on or above the line 8X1 + 4X2 = 160. Therefore, the correct constraint is 8X1 + 4X2 ≥ 160. Option B is the only one that fits this constraint.

The Feasible Region in the Diagram Below Is Consistent with Which