Question

Solve the following 3 variable problem in Excel. Maximize 10X1 + 7X2 + 5X3; subject to the constraints: X1 + X2 + X3 <= 100; 2X2 + X3 >= 70; -X2 + X3 <= 150. All variables are non-negative. Which of the following statements is true?
A.The right-hand side value of 100 for constraint 1 can be decreased by 110 without changing the best corner point.
B.The right-hand side value of 100 for constraint 1 can be decreased by 100 without changing the best corner point.
C.The right hand side value of 70 for constraint 2 can be increased to 200 without changing the best corner point.
D.The right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.

Answer 1

Answer:

D.The right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.

Explanation:

To maximize 10X1 + 7X2 + 5X3; subject to the constraints: X1 + X2 + X3 <= 100; 2X2 + X3 >= 70; -X2 + X3 <= 150, the right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.