Math Problem Statement
Objective : max 2.9x + 1.8y Subject to the constraints: 4y + 5x ≤ 20 8y + 15x ≤ 48 Find the maximum value!
(Notes: Use 4 digits after decimal point)
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Inequalities
Formulas
Objective Function: Z = 2.9x + 1.8y
Constraints: 4y + 5x ≤ 20, 8y + 15x ≤ 48
Intersection of lines: Solve linear equations to find vertices
Theorems
Fundamental Theorem of Linear Programming (vertex evaluation)
Suitable Grade Level
Grades 10-12
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