Linear Programming Solver

Optimize objective functions subject to linear constraints. Solve simplex linear programming problems online. Visualizes 2D constraints regions.

⚡ Interactive Calculation Engine Active

Please enable JavaScript in your browser to run live computations, 2D envelope diagrams, and export PDF reports.

How to Use Linear Programming Solver

  1. Select Optimization Goal: Maximize or Minimize.
  2. Define objective function coefficients (e.g. Z = c1*x1 + c2*x2).
  3. Add linear constraints with coefficients, inequality relations (<=, >=, =), and RHS bounds.
  4. Run solver to view basic variables, slack amounts, and the constraint space polygon.

Linear Optimization Applications

Linear programming maximizes yields or minimizes costs in business operations, resource allocations, logistics, and diet formulations.

Frequently Asked Questions

What is the simplex algorithm?
The Simplex algorithm moves along the vertices of a multi-dimensional constraint polytope to locate the optimal objective value.