The reduced cost for a decision variable is the shadow price of the constraint for that variable.

Question

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The reduced cost of a decision variable is the amount by which the objective function would improve if the variable were increased by one unit, holding all other variables constant. The shadow price of a constraint is the amount by which the objective function would improve if the constraint were relaxed by one unit. Therefore, the reduced cost of a decision variable is the shadow price of the constraint for that variable.

The Reduced Cost for a Decision Variable Is the Shadow