Math Problem Statement

Maximize C= 4x + 12y, Subject to 3x + 5y <= 12, 6x + 2y <= 10, x >= 0, y >= 0

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Programming
Inequalities
Optimization

Formulas

Objective function: C = 4x + 12y
Constraints: 3x + 5y <= 12, 6x + 2y <= 10, x >= 0, y >= 0

Theorems

Intersection of linear inequalities
Feasible region
Linear optimization

Suitable Grade Level

College Level or Advanced High School (Grades 11-12)