# OptSlack

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*New to Analytica 4.3. Prior to Analytica 4.3, was named LpSlack.*

# OptSlack(prog)

Returns the slack, or surplus, values for the constraints at the optimal solution. «prog» is a problem specified by DefineOptimization.

As an example, consider the following example constraint:

5 x_{1}+ 3 x_{2}- x_{3}<= 14

Suppose the optimal solution is found at (1,2,3). Then the left-hand side of this constraint at the optimum is 8. The slack, therefore, is 14-8 = 6. In other words, the right-hand side coefficient could be decreased by 6 units before the optimal solution would be impacted.

A slack of zero indicates that the constraint is one that is actively constraining the optimal solution.

# See Also

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