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 8 (%) Carbohy drates 10 12 (%) 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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
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.
(%)
Carbohy
drates
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.
Transcribed Image Text: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. (%) Carbohy drates 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.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education