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Using the information in the table above, write a system of three equations. (ii) Write the system in matrix form Ax= b  . (iii) Using the Inverse Method, determine how many ounces of each food should the  dietitian include in the meal to meet the daily requirements exactly

Using the information in the table above, write a system of three equations. (ii) Write the system in matrix form Ax= b  . (iii) Using the Inverse Method, determine how many ounces of each food should the  dietitian include in the meal to meet the daily requirements exactly

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 115P
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A dietitian wishes to plan a meal around three foods. The percentages of the daily 
requirements of proteins, carbohydrates, and iron contained in each ounce of the three foods are 
summarized in the following table:

  Food 1 Food 2 Food 3
Protein (%) 10 6 8
Carbohydrates (%) 10 12 6
Iron (%) 5 4 12


The dietitian desires each meal to meet exactly the daily requirement of proteins, carbohydrates, 
and iron (100%) of each.
(i) Using the information in the table above, write a system of three equations.
(ii) Write the system in matrix form Ax= b  .
(iii) Using the Inverse Method, determine how many ounces of each food should the 
dietitian include in the meal to meet the daily requirements exactly

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