Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Graphing Systems of Inequalities
Formulas
Objective function: Max Z = 30x + 24y
Department 1 constraint: 5x + 6y <= 120
Department 2 constraint: 4x + 3y <= 96
Non-negativity constraint: x >= 0, y >= 0
Theorems
Feasible Region Theorem
Corner Point Theorem
Suitable Grade Level
Undergraduate (Operations Research, Business Mathematics)
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