Interpretation of Slack Variables - Background Previous Next
Background
When performing algebraic procedures, it is more convenient to work with equalities than inequalities.
Since the simplex method is an algebraic procedure, the above functional constraints in inequality form () are not very convenient. (However, the nonnegativity constraints are handled in a way that avoids the inconveniences of their inequalities.)
Fortunately, introducing slack variables provides a way of expressing these functional constraints as equations that are convenient for the simplex method.
We will begin by defining and interpreting the slack variables for the first functional constraint,
 .