A person on a special diet requires at least 100 units of protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three liquid diet oods, A, B, and C, whose contents and costs are given in the table to the right. How many bottles of each brand of diet food should be consumed daily in order to meet the protein and carbohydrate requirements at minimal cost? What is the minimum cost? Units per bottle B Protein 10 10 20 Carbohydrates Cost per bottle($) 0.51 2 3 0.39 0.90 The person should consume bottle(s) of brand A, bottle(s) of brand B, and bottle(s) of brand C daily to meet the protein and carbohydrate requirements at minimum cost.
A person on a special diet requires at least 100 units of protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three liquid diet oods, A, B, and C, whose contents and costs are given in the table to the right. How many bottles of each brand of diet food should be consumed daily in order to meet the protein and carbohydrate requirements at minimal cost? What is the minimum cost? Units per bottle B Protein 10 10 20 Carbohydrates Cost per bottle($) 0.51 2 3 0.39 0.90 The person should consume bottle(s) of brand A, bottle(s) of brand B, and bottle(s) of brand C daily to meet the protein and carbohydrate requirements at minimum cost.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Transcribed Image Text:A person on a special diet requires at least 100 units of protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three liquid diet
oods, A, B, and C, whose contents and costs are given in the table to the right. How many bottles of each brand of diet food should be consumed daily in
order to meet the protein and carbohydrate requirements at minimal cost? What is the minimum cost?
Units per bottle
B
Protein
10
10
20
Carbohydrates
Cost per bottle($) 0.51
2
3
0.39
0.90
The person should consume
bottle(s) of brand A,
bottle(s) of brand B, and
bottle(s) of brand C daily to meet the protein and carbohydrate requirements at minimum cost.
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