LPP Simplex Method Calculator
LPP (Linear Programming Problem) simplex method calculator. Solve LPP maximization and minimization problems online.
Simplex 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 |
Solving an LPP
A linear programming problem (LPP) pairs a linear objective with linear constraints and non-negativity conditions. This LPP simplex method calculator solves both maximization and minimization LPPs online, converting the problem to standard form and applying the simplex algorithm with full tableau output.
For Students
Because every iteration is shown, the calculator doubles as a learning aid for operations research and management science courses - solve the LPP and study exactly how the optimal solution is reached.
Related calculators
Frequently Asked Questions
What is an LPP in linear programming?
An LPP (Linear Programming Problem) is a mathematical model where the objective is to maximize or minimize a linear function subject to a set of linear constraints. The simplex method is the standard algorithm to solve LPPs.
How to formulate an LPP for the simplex calculator?
Identify your decision variables, write down the objective function to be optimized, list the constraints as linear inequalities, and ensure all variables are non-negative. Enter these into the calculator to solve.
What is an LPP?
A linear programming problem (LPP) pairs a linear objective with linear constraints and non-negativity conditions.
Can it solve both maximization and minimization LPPs?
Yes, the calculator handles both directions and all constraint types.
Is it suitable for students?
Yes. Because it shows every iteration, it doubles as a learning aid for operations research courses.