Basic variables in simplex method of LPP

Basic variables in simplex method of LPP. (Apr 2003)

Basic variables in simplex are the variables which are present in the Basis. They are the variables present in the solution. In the 1^st simplex table, the basic variables are slack variables. The “Z” value (profit or cost) can be calculated from basic variables. (Contribution multiplied by Quantity). Variables not present in the Basis are called Non-Basic variables.

The index row values (Cj – Zj) for basic variables in simplex table is always zero.

In the 1^st simplex table, basic variables are slack variables.