A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, magnesium, and folate. Two foods will be used, their quantities measured in appropriate units. The nutrients supplied by these foods and the dietery requirements are given as follows, 1. Milligrams (mg) of Nutrients per Unit of Food Total Nutrients Required (mg) Nutrient Food 1 Food 2 Vitamin C 10 20 100 Calcium 50 40 300 Magnesium 30 10 200 Folate 5 8 10 a) Create an equivalent matrix equation based on the given information. b) Determine AT A and A™ b. c) Next, solve the system. d) Based on answer in (1c), explain if the mixture of the two foods can provide the required amounts of vitamin C, calcium, magnesium, and folate.
A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, magnesium, and folate. Two foods will be used, their quantities measured in appropriate units. The nutrients supplied by these foods and the dietery requirements are given as follows, 1. Milligrams (mg) of Nutrients per Unit of Food Total Nutrients Required (mg) Nutrient Food 1 Food 2 Vitamin C 10 20 100 Calcium 50 40 300 Magnesium 30 10 200 Folate 5 8 10 a) Create an equivalent matrix equation based on the given information. b) Determine AT A and A™ b. c) Next, solve the system. d) Based on answer in (1c), explain if the mixture of the two foods can provide the required amounts of vitamin C, calcium, magnesium, and folate.
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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Transcribed Image Text:A dietician is planning a meal that supplies certain quantities of vitamin C, calcium,
magnesium, and folate. Two foods will be used, their quantities measured in appropriate
units. The nutrients supplied by these foods and the dietery requirements are given as
follows,
1.
Milligrams (mg) of Nutrients per Unit
of Food
Total Nutrients
Required (mg)
Nutrient
Food 1
Food 2
Vitamin C
10
20
100
Calcium
50
40
300
Magnesium
30
10
200
Folate
5
8
10
a) Create an equivalent matrix equation based on the given information.
b) Determine AT A and A™ b.
c) Next, solve the system.
d) Based on answer in (1c), explain if the mixture of the two foods can provide the
required amounts of vitamin C, calcium, magnesium, and folate.
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