Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Simplex Method
Duality in LP
Post-optimal Analysis
Formulas
Objective function: Maximize Z = 5x1 + 4x2
Subject to: 6x1 + 4x2 ≤ 24 (M1 constraint)
1x1 + 2x2 ≤ 6 (M2 constraint)
Non-negativity: x1, x2 ≥ 0
Theorems
Fundamental Theorem of Linear Programming
Duality Theorem
Suitable Grade Level
University Level
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