(b) What quantity of Food 1 is necessary to meet the dietary requirements? Answer: units (c) What quantity of Food 2 is necessary to meet the dietary requirements? Answer: units (d) What quantity of Food 3 is necessary to meet the dietary requirements?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods containing these nutrients will be used.
The amount of each nutrient, in milligrams, found in one unit of each food is given in the table below, along with the dietary requirements.
Nutrient Food 1 Food 2 Food 3 Total Required (mg)
Vitamin C 40 20
60
470
Calcium 40 30
80
615
Magnesium 20 25 50
402.5
(a) Write the augmented matrix for this problem:
Answer:
40
Answer:
40
20
Answer:
20
30
25
units
60
(b) What quantity of Food 1 is necessary to meet the dietary requirements?
units
80
50
units
470
(c) What quantity of Food 2 is necessary to meet the dietary requirements?
615
402.5
(d) What quantity of Food 3 is necessary to meet the dietary requirements?
Transcribed Image Text:A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods containing these nutrients will be used. The amount of each nutrient, in milligrams, found in one unit of each food is given in the table below, along with the dietary requirements. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 40 20 60 470 Calcium 40 30 80 615 Magnesium 20 25 50 402.5 (a) Write the augmented matrix for this problem: Answer: 40 Answer: 40 20 Answer: 20 30 25 units 60 (b) What quantity of Food 1 is necessary to meet the dietary requirements? units 80 50 units 470 (c) What quantity of Food 2 is necessary to meet the dietary requirements? 615 402.5 (d) What quantity of Food 3 is necessary to meet the dietary requirements?
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