Constraint A: $-3 X_{1}+X_{2} \leq 90$ Constraint B: $4 X_{1}-2 X_{2} \geq 120$ Constraint C: $X_{1}+2 X_{2} \leq 150$
All variables are required to be non-negative. Let the objective function be Min: $2 X_{1}-3 X_{2}$. Corner points of the feasible region include (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $\left.X_{2}\right)$
A) $(0,0)$ and $(0,75)$
B) $(0,0)$ and $(-30,0)$
C) $(54,48)$ and $(150,0)$
D) $(0,-60)$ and $(0,90)$
E) A and B

Question

Quizplus · Accepted Answer

The corner points of the feasible region are determined by the intersection of the constraints. The points (54,48) and (150,0) satisfy the given constraints and the non-negativity condition.

Constraint A −3X1+X2≤90-3 X_{1}+X_{2} \leq 90−3X1​+X2​≤90 Constraint B 4X1−2X2≥1204 X_{1}-2 X_{2} \geq 1204X1​−2X2​≥120

Constraint A $-3 X_{1}+X_{2} \leq 90$ Constraint B $4 X_{1}-2 X_{2} \geq 120$