Maximization Simplex Method Calculator
Simplex method maximization calculator for solving linear programming problems to find the maximum objective value.
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.
Maximization 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
How to maximize using simplex method?
To maximize an objective function, input your coefficients and constraints. The calculator identifies the most negative Cj-Zj value as the entering variable and iterates until all Cj-Zj values are non-positive, indicating optimality.
How to find the maximum value in a simplex tableau?
The maximum objective value is found in the Zj row (or the objective function row) under the Right-Hand Side (RHS) column of the final optimal simplex tableau.