Explain slack and surplus Give an example of eachSolutionSla

Explain slack and surplus. Give an example of each.

Solution

Slack Variable: Slack variables are the variables used to convert less than equal to(<) constraint into a equality standard.

Eg: If we have a equation like 3×2 + 3×1 40, so after adding a slack variable the equation becomes

3×2 + 3×1 +S1 = 40. Where S1 is the Slack Variable.

Surplus Variable: Surplus Variables are the variables used to convert more than equal to(>) constraint into a equality standard.

Eg: If we have a equation like 3×2 + 3×1 > 40, so after adding a surplus variable the equation becomes

3×2 + 3×1 +S2 = 40. Where S2 is the Surplus Variable.