Simplex Method Calculator : 2 Variables
Simplex method calculator for 2 variable linear programming problems. Visualize and solve 2D LP problems instantly.
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 Calculator : 2 Variables
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 solve 2 variable LP problems?
Enter the objective function and constraints for x1 and x2. The calculator sets up a 2x2 tableau, adds slack variables, and performs the pivot operations to find the optimal values for both variables.
Is the simplex method necessary for 2 variables?
While 2-variable problems can be solved graphically, the simplex method calculator provides exact tableau iterations and is useful for learning the algorithm mechanics before moving to higher dimensions.