Simplex Method Tableau Calculator
Simplex method tableau calculator to solve LP problems. Calculate Zj, Cj-Zj, and perform pivot operations easily.
Our simplex method calculator handles maximization, minimization, 2-phase, Big M, dual, and revised simplex variants. Enter your objective function and constraints, and the calculator performs every pivot operation automatically.
Simplex Method Tableau Calculator
How Simplex Method Calculator Works
Enter the LP Problem
Type the objective function coefficients and every constraint row with its right-hand-side value.
Choose Maximize or Minimize
Pick your optimization goal. The tool builds the initial tableau with slack variables automatically.
Run the Pivot Iterations
The calculator identifies pivot column by Cj-Zj, computes ratios, performs elementary row operations until optimal.
Read the Optimal Solution
Final tableau displays optimal variable values, Zj row, and the maximum/minimum objective value.
Sample Simplex Tableau Output
Example tableau iteration for a 2-variable maximization problem
| Basis | x1 | x2 | s1 | s2 | RHS | Cj-Zj |
|---|---|---|---|---|---|---|
| x1 | 14 | 0 | 0 | 1 | 14 | 0 |
| x2 | 7 | 1 | 0 | 0 | 7 | 5 |
| Zj | 35 | 5 | 0 | 0 | 35 |
Frequently Asked Questions
How to calculate Zj in simplex method?
Zj = sum of (Cbi × aij) for each column j, where Cbi is the objective coefficient of the current basic variable in row i, and aij is the corresponding tableau element in that column.
What is a simplex tableau?
A simplex tableau is a tabular representation of the linear programming problem used to perform the simplex algorithm iterations. It contains the objective function row, constraint coefficients, and the right-hand side values.