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 60 20 2790 Calcium 20 40 30 2375 Magnesium 40 70 30 3375 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?
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 60 20 2790 Calcium 20 40 30 2375 Magnesium 40 70 30 3375 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?
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, 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
60
20
2790
Calcium 20
40
30
2375
Magnesium 40
70
30
3375
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:Solve the following system using augmented matrix methods:
= 28
2x12x2 4x3
5x13x21x3 = 4
10x16x22x3 = 6
-
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