Math Problem Statement

the values x1, x2, and x3 that maximize f(x1,x2,x3)=3x1+4x2+6x3 subject to the following constraints. Write the exact answer. Do not round. If the function has no maximum value, write None. If infinitely many values maximize the function, write Inf.

3x1+x2+x3x1+3x2+x3x1+x2+4x3≤17≤13≤18

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Programming
Optimization
Inequalities

Formulas

Objective function f(x1, x2, x3) = 3x1 + 4x2 + 6x3

Theorems

Fundamental Theorem of Linear Programming

Suitable Grade Level

Grades 11-12