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Suppose That the Optimal Values of the Decision Variables to a Two-Variable

Question 13

Multiple Choice

Suppose that the optimal values of the decision variables to a two-variable linear programming problem remain the same as long as the slope of the objective function lies between the slopes of the following two constraints:
2X1 + 3X2 ≤ 26
2X1 + 2X2 ≤20
The current objective function is:
8X1+ 9X2 = Z
Which of the following statements about the range of optimality on c1 is TRUE?


A) 0 ≤ c1 ≤ 2
B) 2 ≤ c1 ≤ 6
C) 6 ≤ c1 ≤ 9
D) 9 ≤c1 ≤ 12

Correct Answer:

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