8. A person on a high-protein, low-carbohydrate diet requires at least 100 units of protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three special liqui diet foods: A, B, and C. The contents and costs of the diet foods are given in the table. 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? Note: Use the big M method Protein Carbohydrates Units per bottle A 10 2 Cost per bottle ($) 0.60 B 10 3 0.40 C 20 4 1.50

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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8. A person on a high-protein, low-carbohydrate diet requires at least 100 units of
protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three special liquid
diet foods: A, B, and C. The contents and costs of the diet foods are given in the table. 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? Note: Use the big M method.
Protein
Carbohydrates
Units per bottle
A
10
2
Cost per bottle ($) 0.60
B
10
3
0.40
C
20
4
1.50
Transcribed Image Text:8. A person on a high-protein, low-carbohydrate diet requires at least 100 units of protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three special liquid diet foods: A, B, and C. The contents and costs of the diet foods are given in the table. How many bottles of each brand of diet food should be consumed daily in order to meet the protein and carbohydrate requirements at minimal cost? What is the minimum cost? Note: Use the big M method. Protein Carbohydrates Units per bottle A 10 2 Cost per bottle ($) 0.60 B 10 3 0.40 C 20 4 1.50
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