Three foods have the nutritional contents per ounce shown in the table below. Units per Ounce Vitamin A Iron Calcium 22 11 33 11 11 33 Food 1 Food 2 Food 3 a. Which of the following is the reduced row-echelon form of the matrix that represents this scenario? OA OB. OC 001 22 11 11 a. A diet must consist precisely of 242 units of vitamin A, 198 units of iron, and 374 units of calcium. However, the dietician runs out of food 1. Use a matrix approach to show that under these conditions the dietary requirements cannot be met 010 b. Now suppose that all three foods are available. Use matrices to give a possible way to meet the iron and calcium requirements with the three foods b. Which of the following is a possible way to meet the iron and calcium requirements with the three foods? OA. 2 units of food 1, 5 units of food 2, 9 units of food 3 OB. 9 units of food 1, 5 units of food 2, 2 units of food 3 OC. 5 units of food 1, 2 units of food 2, 9 units of food 3 OD. 1 unit of food 1, 5 units of food 2, 9 units of food 3
Three foods have the nutritional contents per ounce shown in the table below. Units per Ounce Vitamin A Iron Calcium 22 11 33 11 11 33 Food 1 Food 2 Food 3 a. Which of the following is the reduced row-echelon form of the matrix that represents this scenario? OA OB. OC 001 22 11 11 a. A diet must consist precisely of 242 units of vitamin A, 198 units of iron, and 374 units of calcium. However, the dietician runs out of food 1. Use a matrix approach to show that under these conditions the dietary requirements cannot be met 010 b. Now suppose that all three foods are available. Use matrices to give a possible way to meet the iron and calcium requirements with the three foods b. Which of the following is a possible way to meet the iron and calcium requirements with the three foods? OA. 2 units of food 1, 5 units of food 2, 9 units of food 3 OB. 9 units of food 1, 5 units of food 2, 2 units of food 3 OC. 5 units of food 1, 2 units of food 2, 9 units of food 3 OD. 1 unit of food 1, 5 units of food 2, 9 units of food 3
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:Three foods have the nutritional contents per ounce shown in the table below.
Units per Ounce
Vitamin A Iron Calcium
Food 1
22
11
Food 2
11
11
Food 3
11
33
a. Which of the following is the reduced row-echelon form of the matrix that represents this scenario?
OA
OB.
OC.
1 00
010
001
22
33
11
10
a. A diet must consist precisely of 242 units of vitamin A, 198 units of iron, and
374 units of calcium. However, the dietician runs out of food 1. Use a matrix
approach to show that under these conditions the dietary requirements cannot
be met
0
010
b. Now suppose that all three foods are available. Use matrices to give a
possible way to meet the iron and calcium requirements with the three foods.
100
010
101
b. Which of the following is a possible way to meet the iron and calcium requirements with the three foods?
OA. 2 units of food 1,5 units of food 2, 9 units of food 3
OB. 9 units of food 1, 5 units of food 2, 2 units of food 3
OC. 5 units of food 1, 2 units of food 2,9 units of food 3
OD. 1 unit of food 1, 5 units of food 2, 9 units of food 3
1 11
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