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 30 80 615 25 50 402.5 Calcium 40 Magnesium 20 (a) Write the augmented matrix for this problem: Answer: 40 Answer: 40 20 Answer: 20 30 25 units (b) What quantity of Food 1 is necessary to meet the dietary requirements? 60 units 80 50 (c) What quantity of Food 2 is necessary to meet the dietary requirements? units 470 615 402.5 (d) What quantity of Food 3 is necessary to meet the dietary requirements?
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 30 80 615 25 50 402.5 Calcium 40 Magnesium 20 (a) Write the augmented matrix for this problem: Answer: 40 Answer: 40 20 Answer: 20 30 25 units (b) What quantity of Food 1 is necessary to meet the dietary requirements? 60 units 80 50 (c) What quantity of Food 2 is necessary to meet the dietary requirements? units 470 615 402.5 (d) What quantity 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 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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