Solve Linear Programming Problems step-by-step using the Graphical Method. Handles all cases — Optimal, Infeasible, Unbounded, and Multiple Optimal Solutions.
Two-Variable LPP · Corner Point Method · Step-by-Step
What is the Graphical Method?
Overview
The Graphical Method is used to solve LPP with two decision variables (x₁, x₂ ≥ 0). The feasible region is the intersection of all constraint half-planes. The optimal solution (if it exists) occurs at a corner (extreme) point of the feasible region.
Unique OptimalA finite feasible region with a single corner point giving the best value.
Multiple OptimalThe objective function is parallel to a constraint — infinitely many optimal points along an edge.
UnboundedThe feasible region is unbounded and the objective can increase/decrease without limit.
InfeasibleNo point satisfies all constraints simultaneously — empty feasible region.