Linear programming step by step: Simplex, graph and sensitivity. No ads.
Simplex Calculator solves linear programming problems step by step and explains every step. It is made for secondary school, university and management courses.
SIMPLEX, TABLEAU BY TABLEAU
• Standard form and every tableau, one at a time
• Why each variable enters and leaves the basis, with the pivot highlighted
• Big M method for ≥ and = constraints
• Special cases explained: infeasible, unbounded, multiple optimal solutions and degenerate
• Practice mode: you pick the entering and the leaving variable before you see the answer
GRAPHICAL METHOD (2 VARIABLES)
• Feasible region and exact vertices
• Drag the objective line across the region
• Zoom, pan and tap a vertex
ALGEBRAIC METHOD
• All basic solutions, each with its system of equations
• Which ones are feasible and which one is optimal
SENSITIVITY ANALYSIS AND DUAL
• Shadow prices and reduced costs
• Ranges for the right-hand sides and for the objective coefficients
• A plain reading of the results for business decisions
• The dual problem and its solution
EXACT RESULTS
• Exact fractions, with no rounding errors; decimals if you prefer
• Up to 10 variables and 10 constraints
• Maximise or minimise, with ≤, ≥ and = constraints
EASY TO USE
• Enter the problem in a grid or as text (max z = 3x1 + 2x2)
• 13 ready-made examples by level: secondary, university, management and special cases
• History of your last 30 problems
• Share a problem with a link, print the full report or save it as PDF
• Light and dark theme, adjustable text size
• English and Portuguese
• Phones, tablets and computers
PRIVATE AND FREE
• Free, with no ads and no purchases
• No account and no data collection: your problems stay on your device
• Works offline after the first launch
Made in Portugal by Bica Games.