(1) A dietitian wishes to plan a meal around three foods. The percentages of the dailyrequirements of proteins, carbohydrates, and iron contained in each ounce of the three foods aresummarized in the following table:Food 1 Food 2 Food 3Protein (%)108Carbohydrates (%)1012Iron (%)5412The 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 Axr = b.(iii) Using the Inverse Method, determine how many ounces of each food should thedietitian include in the meal to meet the daily requirements exactly.

i) It is required to write the system of three equation using information in the given table. It is…

(1) 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 Iron (%) 5 4 12 The dietitian desires each meal 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 Axr = 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.

(1) 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 Iron (%) 5 4 12 The dietitian desires each meal 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 Axr = 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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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