A dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to include exactly 340 units of calcium, 180 units of iron, and 400 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. Units per Ounce Food A Food B Food C Calcium 30 10 20 Iron 10 10 20 Vitamin A 30 20 30 Construct a mathematical model for this situation. Let the first, second, and third equations represent calcium, iron, and vitamin A, respectively. Let x, represent the number of ounces of food A, x, represent the number of ounces of food B, and x, represent the number of ounces of IC. 口+ロを+口% ]*123 = O 口+口を+口s %=| (Type integers or decimals.) %3D

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 in a hospital is to arrange a special diet
composed of three basic foods. The diet is to
include exactly 340 units of calcium, 180 units of
iron, and 400 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
Units per Ounce
Food A
Food B
Food C
Calcium
30
10
20
Iron
10
10
20
Vitamin A
mathematical model to complete parts (A) through
(C) below. Use Gauss-Jordan elimination to solve
the model and then interpret the solution.
30
30
Construct a mathematical model for this situation. Let the first, second, and third equations represent calcium, iron, and vitamin A, respectively. Let x, represent the
number of ounces of food A, x, represent tine number of ounces of food B, and x, represent the number of ounces of food C.
- 2 * 3 =
X, +
X, +
%3D
(Type integers or decimais.)
20
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 340 units of calcium, 180 units of iron, and 400 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 Units per Ounce Food A Food B Food C Calcium 30 10 20 Iron 10 10 20 Vitamin A mathematical model to complete parts (A) through (C) below. Use Gauss-Jordan elimination to solve the model and then interpret the solution. 30 30 Construct a mathematical model for this situation. Let the first, second, and third equations represent calcium, iron, and vitamin A, respectively. Let x, represent the number of ounces of food A, x, represent tine number of ounces of food B, and x, represent the number of ounces of food C. - 2 * 3 = X, + X, + %3D (Type integers or decimais.) 20
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