In sensitivity analysis, a zero shadow price (or dual value) for a resource ordinarily means that the resource has been used up.

Question

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A zero shadow price or dual value for a resource means that the value of an additional unit of that resource is zero, not that the resource has been depleted. It could also mean that the resource has excess capacity or is not a limiting factor in the optimization problem.

In Sensitivity Analysis, a Zero Shadow Price (Or Dual Value)