Minimization Simplex Method Calculator
Simplex method minimization calculator for solving LP problems to find the minimum cost or 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.
Minimization 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 minimize simplex method using calculator?
Open the simplex minimization calculator, select the Minimize option, enter your cost function coefficients and constraint values, then click Solve to get the minimum objective value and optimal variable values.
What is the stopping condition for minimization?
For minimization problems using the simplex method, the algorithm stops when all Cj-Zj values in the objective row are non-negative, indicating that the current solution is optimal.