The Simplex Method is a simple but powerful technique used in the field of optimization to solve maximization and minimization problems in linear programming. Here you will find simplex method examples to deepen your learning. To solve the problems, we will use our linear programming calculators.
The Simplex Method is an iterative algorithm, meaning that it uses a series of steps to find the optimal value of a function. It is based on two important assertions:
- A convex polyhedron can represent the feasible set of any linear programming problem.
- If a linear programming problem has a finite optimal solution, it will be at a vertex of the convex polyhedron representing the problem.
In the examples to be developed we will show step by step the iterations of the simplex algorithm, addressing problems with unlimited solutions, with an unfeasible solution, and cases of minimization and maximization. We will not address problems with artificial variables.