A dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to include exactly 440 units of calcium, 360 units of Iron, and 360 units of vitamin A. The number of units per ounce of each special ingredient for each of the foods is indicated in the table. Construct a mathematical model to complete parts (A) through (C) below Use Gauss-Jordan elimination to solve the model and then interpret the solution. Calcium Iron Vitamin A Units per Ounce Food A 20 10 20 ounces of food A and Food B 10 10 30 GTO (B) How is the diet in part (A) affected if food C is not used? Select the correct choice below, and, if necessary, fill in the answer boxes to complete your choice OA. There is still one solution. The diet requires (Type whole numbers) OB. There are multiple solutions. If the diet uses t ounces of food B, it should use OC. There are no solutions. There is no combination of foods that will meet the diet requirements exactly (C) How is the diet in part (A) affected if the vitamin Arequirement is dropped? Select the correct choice below, and, # necessary, it in the answer boxes to complete your choice OA. There is still one solution. The diet requires ounces of food ounces of food Food C 30 30 10 ounces of food B ounces of food A where t is an integer satisfying sts ounces of fo
A dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to include exactly 440 units of calcium, 360 units of Iron, and 360 units of vitamin A. The number of units per ounce of each special ingredient for each of the foods is indicated in the table. Construct a mathematical model to complete parts (A) through (C) below Use Gauss-Jordan elimination to solve the model and then interpret the solution. Calcium Iron Vitamin A Units per Ounce Food A 20 10 20 ounces of food A and Food B 10 10 30 GTO (B) How is the diet in part (A) affected if food C is not used? Select the correct choice below, and, if necessary, fill in the answer boxes to complete your choice OA. There is still one solution. The diet requires (Type whole numbers) OB. There are multiple solutions. If the diet uses t ounces of food B, it should use OC. There are no solutions. There is no combination of foods that will meet the diet requirements exactly (C) How is the diet in part (A) affected if the vitamin Arequirement is dropped? Select the correct choice below, and, # necessary, it in the answer boxes to complete your choice OA. There is still one solution. The diet requires ounces of food ounces of food Food C 30 30 10 ounces of food B ounces of food A where t is an integer satisfying sts ounces of fo
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 in a hospital is to arrange a special diet
composed of three basic foods. The diet is to
include exactly 440 units of calcium, 360 units of
Iron, and 360 units of vitamin A The number of units
per ounce of each special ingredient for each of the
foods is indicated in the table. Construct a
mathematical model to complete parts (A) through
(C) below Use Gauss-Jordan elimination to solve
the model and then interpret the solution.
Calcium
Iron
Vitamin A
Units per Ounce
Food A
20
10
20
ounces of food A and
ounces of food A
Food B
10
10
30
GETES
(B) How is the diet in part (A) affected if food C is not used? Select the correct choice below, and, if necessary, fill in the answer boxes to complete your choice
OA. There is still one solution. The diet requires
(Type whole numbers)
OB. There are multiple solutions If the diet uses t ounces of food B, it should use
ounces of food B
Food C
30
30
10
ounces of food A where t is an integer satisfying 1s
OC. There are no solutions. There is no combination of foods that will meet the diet requirements exactly
(C) How is the diet in part (A) affected if the vitamin A requirement is dropped? Select the correct choice below, and, if necessary, fit in the answer boxes to complete your choice
OA. There is still one solution. The diet requires
ounces of food B. and
ounces of food C
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