The table 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.     Calories Fat Carbohydrates   Cereal Brand X 50 0 22   Cereal Brand Y 108 0.1 25.5   Cereal Brand Z 127 5.5 18

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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  • The table 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.

 

 

Calories

Fat

Carbohydrates

 

Cereal Brand X

50

0

22

 

Cereal Brand Y

108

0.1

25.5

 

Cereal Brand Z

127

5.5

18

 

Total Required

393

5.7

91

 

 

  • Using the information in the table above, write a system of three equations.
  • Write a system in matrix form Ax =b.
  • 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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