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What Is the Smallest Value of the Objective Function Coefficient

Question 49

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

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