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Linear Programming Calculator

linear programming calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.

Reviewed by Manoj Kumar, Mathematics Educator

Reviewed by Manoj Kumar, Mathematics Educator

Formula

Maximize Z = cx subject to Ax โ‰ค b, x โ‰ฅ 0

Solves 2-variable LP graphically by evaluating the objective at each vertex of the feasible region.

Worked Examples

Example 1: 3-constraint problem

Problem:Max 3x+5y, s.t. x+2yโ‰ค14, 3x+yโ‰ค14, x+yโ‰ค8

Solution:Evaluate Z at each vertex of feasible region

Result:Optimal Z

Reviewed by Manoj Kumar, Mathematics Educator ยท Editorial policy