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Simplex Method Calculator

Solve maximization & minimization LP problems step‑by‑step with tableau pivoting. Trusted by students and analysts.

Interactive Simplex Solver

Enter your problem in ≤ form (non‑negative variables). We'll add slack variables and show every pivot iteration.

All coefficients must be numeric. For ≤ constraints, we automatically add slack variables.

Master the Simplex Method

Our simplex method calculator is designed to help you understand linear programming through interactive tableaus. Whether you need a maximization simplex method calculator or a minimization simplex method calculator, this tool provides complete iteration details: entering variable, leaving variable, pivot element, and updated tableau. In 2026, LP remains essential for operations research, economics, and data science. This online simplex method calculator supports up to 4 variables and 4 constraints, ideal for coursework.

How to Use: Simplex Method on Calculator

  • Select maximization or minimization.
  • Choose number of decision variables (2–4) and constraints (2–4).
  • Enter objective coefficients (e.g., for Z = 3x₁ + 5x₂, type "3" and "5").
  • Fill each constraint row coefficients and RHS (right-hand side, must be ≥ 0).
  • Click Solve — watch the step-by-step simplex tableau.
  • Interpret final optimal value and variable values.

Simplex Variants Reference

MethodUse CaseOur Tool
Primal SimplexMaximization, ≤ constraints✅ Fully supported with steps
Dual SimplexMinimization with ≥ constraintsExplain in content, use transformation
Two-Phase / Big MMixed constraints (≥, =)Convert to ≤ first; our method handles standard form

Exclusive Insight: Simplex in 2026

Modern AI solvers still rely on simplex variants for mixed-integer programming presolve. Understanding tableau operations gives you a foundation for advanced optimization. Our simplex method calculator tableau mirrors the classical approach used in textbooks.

Frequently Asked Questions

❓ Can it solve minimization problems?
Yes, select "Minimization" – the solver converts it to maximization and returns the correct minimal value.
❓ Does it show step-by-step pivots?
Absolutely. Every iteration displays entering variable, leaving variable, and the updated tableau – perfect for learning.
❓ What about dual simplex method calculator with steps?
Our primary focus is primal simplex; however, you can adapt your problem. We provide references to dual method.
❓ How many constraints/variables are supported?
Up to 4 variables and 4 constraints (≤ form). For larger problems, consider dedicated LP software.
❓ Is the online simplex method calculator free?
100% free, no registration.
❓ Does it handle slack variables automatically?
Yes, slack variables appear in the tableau columns; you'll see them in each iteration.