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 where the shaded region intersects with the coordinate axes. Since the feasible region is below the line and to the left of the y-axis, we know that the constraint is of the form aX1 + bX2 ≤ c. The only option that fits this form is D: 8X1 + 4X2 ≤ 160.

The Feasible Region in the Diagram Below Is Consistent with Which