Linear Programming Calculator Using Simplex Method
Free online linear programming calculator using the simplex method to solve LP problems step by step.
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.
Linear Programming Calculator Using Simplex Method
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 simplex method in linear programming?
Set up the initial simplex tableau with decision variables and slack variables. Identify the most negative Cj-Zj value as pivot column, calculate ratios to find pivot row, then perform elementary row operations to iterate.
Can this calculator solve any linear programming problem?
Yes, it handles standard maximization, minimization, and problems requiring the Big M or 2-phase methods by automatically adjusting the algorithm to fit your specific constraints.