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

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