The following below shows the calories, fat, and carbohydrates per ounce for three brands of cereal, and the total amount of calories, fat, and carbohydrates required for a special diet: Cereal Brand X- 50 calories , 0 fat , 22 carbohydrates Cereal Brand Y - 108 calories, 0.1 fat, 25.5 carbohydrates Cereal Brand Z- 127 calories, 5.5 fat , 18 carbohydrates Total Required - 393 calories, 5.7 fat , 91 carbohydrates a) Using the information in the table above, write a system of three equations. b) Write a system in matrix form Ax = b c) Using the Cramer's Rule or Inverse Method, find the amount of each brand of cereal that will give the level of nutrition required.
The following below shows the calories, fat, and carbohydrates per ounce for three brands of cereal, and the total amount of calories, fat, and carbohydrates required for a special diet: Cereal Brand X- 50 calories , 0 fat , 22 carbohydrates Cereal Brand Y - 108 calories, 0.1 fat, 25.5 carbohydrates Cereal Brand Z- 127 calories, 5.5 fat , 18 carbohydrates Total Required - 393 calories, 5.7 fat , 91 carbohydrates a) Using the information in the table above, write a system of three equations. b) Write a system in matrix form Ax = b c) Using the Cramer's Rule or Inverse Method, find the amount of each brand of cereal that will give the level of nutrition required.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following below shows the calories, fat, and carbohydrates per ounce for three brands of cereal, and the total amount of calories, fat, and carbohydrates required for a special diet:
Cereal Brand X- 50 calories , 0 fat , 22 carbohydrates
Cereal Brand Y - 108 calories, 0.1 fat, 25.5 carbohydrates
Cereal Brand Z- 127 calories, 5.5 fat , 18 carbohydrates
Total Required - 393 calories, 5.7 fat , 91 carbohydrates
a) Using the information in the table above, write a system of three equations.
b) Write a system in matrix form Ax = b
c) Using the Cramer's Rule or Inverse Method, find the amount of each brand of cereal that will give the level of nutrition required.
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