A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods will be used, their quantities measured in milligrams. The nutrients supplied by these foods and the dietary requirements are given in the table below. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 40 20 60 4480 Calcium 10 15 25 1990 Magnesium 50 45 85 6890 Write the augmented matrix for this problem. What quantity (mg) of Food 1 is necessary to meet the dietary requirements? What quantity (mg) of Food 2 is necessary to meet the dietary requirements? What quantity (mg) of Food 3 is necessary to meet the dietary requirements?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods will be used,
their quantities measured in milligrams. The nutrients supplied by these foods and the dietary requirements are given in the table below.
Nutrient Food 1 Food 2 Food 3 Total Required (mg)
Vitamin C 40
20
60
4480
Calcium
10
25
1990
Magnesium 50
45
85
6890
Write the augmented matrix for this problem.
What quantity (mg) of Food 1 is necessary to meet the dietary requirements?
What quantity (mg) of Food 2 is necessary to meet the dietary requirements?
What quantity (mg) of Food 3 is necessary to meet the dietary requirements?
Transcribed Image Text:A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods will be used, their quantities measured in milligrams. The nutrients supplied by these foods and the dietary requirements are given in the table below. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 40 20 60 4480 Calcium 10 25 1990 Magnesium 50 45 85 6890 Write the augmented matrix for this problem. What quantity (mg) of Food 1 is necessary to meet the dietary requirements? What quantity (mg) of Food 2 is necessary to meet the dietary requirements? What quantity (mg) of Food 3 is necessary to meet the dietary requirements?
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