Algebraic Simplex Method - Checking Optimality Previous Next
Checking for Optimality
To test whether the solution , and  is optimal, we rewrite equation (0) as
Since both  and  have positive coefficients,  can be increased by increasing either one of these variables. Therefore, the current basic feasible solution is not optimal, so we need to perform an iteration of the simplex method to obtain a better basic feasible solution.
This begins by choosing the entering basic variable (the nonbasic variable chosen to become a basic variable for the next basic feasible solution).