Simplex Method Calculator — Step-by-Step Guide with Examples

The simplex method calculator with steps is the fastest way to solve linear programming (LP) problems online while learning the underlying algorithm. Instead of just handing you the final answer, the calculator exposes every tableau iteration so you can verify each pivot operation.

Why use a step-by-step simplex calculator?

When you’re learning the simplex algorithm, the hardest part isn’t the math itself — it’s keeping track of every row operation. A step-by-step calculator:

• Builds the initial tableau with slack variables automatically
• Identifies the pivot column using the Cj-Zj rule
• Computes the minimum ratio to pick the pivot row
• Performs elementary row operations and shows the new tableau

Worked example

Consider the LP:

Maximize Z = 3x1 + 5x2 Subject to: x1 + 2x2 ≤ 14 x1 + x2 ≤ 8 x1, x2 ≥ 0

After entering this into the calculator, you’ll see iterations where the entering variable is x2 and the leaving variable is the slack of the first constraint.

Reading the final tableau

The optimal solution appears when all Cj-Zj values are non-positive (for maximization). At that point:

• The basic variable values sit in the RHS column
• Z (the objective value) is the maximum achievable value

Try it yourself with our Simplex Method Calculator.