Dual Simplex Method Calculator
Dual simplex method calculator to solve linear programming problems by iterating on the dual problem.
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.
Dual Simplex Method 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
What is the dual simplex method?
The dual simplex method is a variant of the simplex algorithm that maintains dual feasibility (optimality condition) while working towards primal feasibility. It is useful when a basic solution is optimal but infeasible.
How to use the dual simplex calculator?
Input your LP problem. The calculator starts with a dual-feasible basis and performs pivot operations to remove primal infeasibilities until an optimal and feasible solution is reached.