A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of food L contains 20 units of calcium, 20 units of iron, 10 units of vitamin A, and 20 units of cholesterol. Each ounce of food M contains 10 units of calcium, 20 units of iron, 15 units of vitamin A, and 20 units of cholesterol. Each ounce of food N contains 10 units of calcium, 20 units of iron, 10 units of vitamin A, and 18 units of cholesterol.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of food L contains 20 units of calcium, 20 units of iron, 10 units of
vitamin A, and 20 units of cholesterol. Each ounce of food M contains 10 units of calcium, 20 units of iron, 15 units of vitamin A, and 20 units of cholesterol. Each
ounce of food N contains 10 units of calcium, 20 units of iron, 10 units of vitamin A, and 18 units of cholesterol.
Select the correct choice below and fill in any answer boxes present in your choice. If the minimum daily requirements are 320 units of calcium, 480 units of iron, and
240 units of vitamin A, how many ounces of each food should be used to meet the minimum requirements and at the same time minimize the cholesterol intake?
OA. The special diet should include x₁ = ounces of food L, X₂ =
OB. There is no way to minimze the cholesterol intake.
Help me solve this
Textbook Ask my instructor
ounces of food M, and x3 =
ounces of food N.
Clear all
Check answer
Transcribed Image Text:- Bin A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of food L contains 20 units of calcium, 20 units of iron, 10 units of vitamin A, and 20 units of cholesterol. Each ounce of food M contains 10 units of calcium, 20 units of iron, 15 units of vitamin A, and 20 units of cholesterol. Each ounce of food N contains 10 units of calcium, 20 units of iron, 10 units of vitamin A, and 18 units of cholesterol. Select the correct choice below and fill in any answer boxes present in your choice. If the minimum daily requirements are 320 units of calcium, 480 units of iron, and 240 units of vitamin A, how many ounces of each food should be used to meet the minimum requirements and at the same time minimize the cholesterol intake? OA. The special diet should include x₁ = ounces of food L, X₂ = OB. There is no way to minimze the cholesterol intake. Help me solve this Textbook Ask my instructor ounces of food M, and x3 = ounces of food N. Clear all Check answer
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