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

question 14

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

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