Chemkris wants to mix up 500 pounds of a diet food for aerobic students. There are two principal ingredients in the mixture, x1 and x2, both sources of protein. The first source of protein, x1, costs $15 a pound and x2 costs $12 a pound. Chemical constraints dictate the mixture contain no less than 300 pounds of x1 and at most 200 pounds of x2. Find the optimum product mix and the minimum cost.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
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Chemkris wants to mix up 500 pounds of a diet food for aerobic students. There are two principal ingredients in the mixture, x1 and x2, both sources of protein. The first source of protein, x1, costs $15 a pound and xcosts $12 a pound. Chemical constraints dictate the mixture contain no less than 300 pounds of xand at most 200 pounds of x2. Find the optimum product mix and the minimum cost. 

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