# What Does A Reduced Cost Of Zero Mean?

What does a reduced cost of zero mean? If the optimal value of a variable is positive (not zero), then the reduced cost is always zero. If the optimal value of a variable is zero and the reduced cost corresponding to the variable is also zero, then there is at least one other corner that is also in the optimal solution.

## When is the reduced cost of a solution zero?

Reduced Cost. If the optimal value of a variable is positive (not zero), then the reduced cost is always zero. If the optimal value of a variable is zero and the reduced cost corresponding to the variable is also zero, then there is at least one other corner that is also in the optimal solution.

## What does reduced cost mean in a minimization problem?

More precisely, ... the reduced cost value indicates how much the objective function coefficient on the corresponding variable must be improved before the value of the variable will be positive in the optimal solution. In the case of a minimization problem, "improved" means "reduced.".

## When is the reduced cost of linear programming always zero?

Reduced Cost in Linear Programming. If the optimal value of a variable is positive (not zero), then the reduced cost is always zero. If the optimal value of a variable is zero and the reduced cost corresponding to the variable is also zero, then there is at least one other corner that is also in the optimal solution.

## What does the reduced cost value of a variable mean?

The reduced cost value indicates how much the profitability of the activity would have to be increased in order for the activity to occur in the optimal solution. The units of the reduced-cost values are the same as the units of the corresponding objective function coefficients. If the optimal value of a variable is positive (not zero), ...

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