Math Problem Statement

Find the maximum and minimum values of the linear functions Z = 800x + 600y and Z = 4x + 3y under the given constraints.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Programming
Optimization
Inequalities

Formulas

Objective function: Z = ax + by
Constraints: Ax + By ≤ C

Theorems

Linear programming optimization

Suitable Grade Level

Grades 11-12 or college-level