Increasing the right-hand side of a nonbinding constraint will not cause a change in the optimal solution. true false

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22-08-2022
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Increasing the right-hand side of a nonbinding constraint will not cause a change in the optimal solution. true false

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-08-29T16:51:13+02:00

The answer is false. The best solution won't change if the right-hand side of a nonbinding restriction is increased. An equal-to constraint cannot be nonbinding in a viable problem. The viable region's shape (boundaries) is formed only by binding constraints.

The point is passed through by the constraint 5x12x20 (20, 50). To discover the new ideal solution and dual pricing, the issue must be solved. Per unit increased in the right hand side, the dual pricing evaluates the improvement in the value of the ideal solution. The constraint boundary will shift parallel to itself when a constraint's right side changes.

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