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Does zero shadow price mean a constraint is completely useless?

If a constraint has a shadow price of zero, does that mean we can completely delete it from the LP model without changing anything?

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No. It is currently non-binding, but if other parameters change or if you drop the constraint entirely, the feasible region might expand and change the optimal solution.

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No, a zero shadow price does not mean a constraint is useless. You cannot delete it because it might become an important bottleneck later if conditions change.

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