What is the smallest value of the objective function coefficient X₁can assume without changing the optimal solution?
MAX: ^{7 X}₁^{+ 4 X}₂
Subject to: ^{2 X}₁^{+ X}₂^{≤ 16}
X₁+ X₂≤ 10
2 X₁+ 5 X₂≤ 40 X₁,X₂≥ 0

Question

What is the smallest value of the objective function coefficient X<sub>1 </sub>can assume without changing the optimal solution? MAX: <sup>7 X</sup><sub>1 </sub><sup>+ 4 X</sup><sub>2</sub> Subject to: <sup>2 X</sup><sub>1 </sub><sup>+ X</sup><sub>2 </sub><sup>≤ 16</sup> X<sub>1 </sub>+ X<sub>2 </sub>≤ 10 2 X<sub>1 </sub>+ 5 X<sub>2 </sub>≤ 40 X<sub>1</sub>,X<sub>2 </sub>≥ 0

Quizplus · Accepted Answer

The Answer of What is the smallest value of the objective function coefficient X₁can assume without changing the optimal solution? MAX: ^{7 X}₁^{+ 4 X}₂ Subject to: ^{2 X}₁^{+ X}₂^{≤ 16} X₁+ X₂≤ 10 2 X₁+ 5 X₂≤ 40 X₁,X₂≥ 0

What Is the Smallest Value of the Objective Function Coefficient