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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.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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.
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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