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Problem Set A (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:

Problem Set A (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:

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 26E: Production problems A company manufactures one type of computer chip that runs at 2.0 GHz and...
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Problem Set A (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 () 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.
Transcribed Image Text:Problem Set A (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 () 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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