Math Problem Statement
Solve the following LPP by graphical method Max Z = 2x1 + 3x2 Subject to constraints x1 - x2 ≤ 2 and x1 + x2 ≥ 4 and x1 , x2 ≥ 0.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Graphical Method
Optimization
Formulas
Objective function: Z = 2x1 + 3x2
Constraint equations: x1 - x2 = 2, x1 + x2 = 4
Theorems
Fundamental theorem of linear programming (optimal solution lies at a vertex of the feasible region)
Suitable Grade Level
Grades 11-12 or early university (Introductory Linear Programming)
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