Nutrient Food 1 Food 2 Food 3 Total Required (mg) 30 40 25 Vitamin C 20 3015 2485 Calcium 10 35 Magnesium 40 80 7195 90

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 62RE
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Linear algebra practice problem:

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.

a) Write the augmented matrix for this problem.

b) What quantity (mg) of Food 1 is necessary to meet the dietary requirements?

c) What quantity (mg) of Food 2 is necessary to meet the dietary requirements?

d) What quantity (mg) of Food 3 is necessary to meet the dietary requirements?

Nutrient Food 1 Food 2 Food 3 Total Required (mg)
30
40
25
Vitamin C
20
3015
2485
Calcium
10
35
Magnesium 40
80
7195
90
Transcribed Image Text:Nutrient Food 1 Food 2 Food 3 Total Required (mg) 30 40 25 Vitamin C 20 3015 2485 Calcium 10 35 Magnesium 40 80 7195 90
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