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 Max: $2 X_{1}-3 X_{2}$ Optimal solution and corresponding objective function value (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $X_{2}$ ) will be
A) $(0,0)$ and 0
B) $(30,0)$ and 60
C) $(54,48)$ and -36
D) $(150,0)$ and 300
E) $(0,90)$ and -270

Question

Quizplus · Accepted Answer

The Answer of 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 Max: $2 X_{1}-3 X_{2}$ Optimal solution and corresponding objective function value (assuming the first number in parenthesis is $X_{1}$ and the second number in parenthesis is $X_{2}$ ) will be
A) $(0,0)$ and 0
B) $(30,0)$ and 60
C) $(54,48)$ and -36
D) $(150,0)$ and 300
E) $(0,90)$ and -270

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 $4 X_{1}-2 X_{2} \geq 120$