The reduced cost of a variable is the dual value of the corresponding nonnegativity constraint.

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Quizplus · Accepted Answer

This statement is true. In linear programming, the reduced cost of a variable represents the amount by which the objective function coefficient of that variable would need to improve for the variable to become non-basic. This is also equal to the dual value of the corresponding nonnegativity constraint in the dual problem. Therefore, the reduced cost is related to the dual value of the nonnegativity constraint.

The Reduced Cost of a Variable Is the Dual Value