The Tableau button lets you run the algorithm one iteration at a time.   From the input data, the program creates a first Simplex tableau  as shown below.

Radio buttons allow the user to select the entering and/or the exiting variable.  The program verifies

1. If the entering variable is not already in base
2. If the pivot is not equal to zero

The method does not verify if the choice of entering/exiting variable leads to a feasible solution.

NEXT button performs one iteration of the Simplex method.  If entering and/or exiting variable is not selected, the method determines them.

Remarks:

• M indicates a large value.
• Xi represents a decision variable.  Sj represents a slack or an artificial variable.
• Uses the big M if Xi = 0, for all i, is not a feasible solution.
• Uses the upper-bounding technique.