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
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