1. Each gallon of milk, kilogram of cheese, and pound of apples provides a known number of milligrams of protein and vitamins A, B, and C. The following table includes those data together with the minimum daily requirements of the nutritional ingredients, as recommended by the Department of Health. The table also includes the minimum amount of each food that should be included in the meal and its cost. MINIMUM DAILY MILK 40 CHEESE APPLES Protein 70 50 300 100 Vitamin A 14 100 70 Vitamin B Vitamin C Minimum amount 0.15 gal Unit cost (P) As a dietician for a public school, formulate a model to determine the least-cost meal that meets all the daily nutritional requirements. 400 60 10 10 60 100 600 100 0.15 Kg. 300 0.10 Ib. 350 90

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Each gallon of milk, kilogram of cheese, and pound of apples provides a known number of milligrams of
protein and vitamins A, B, and C. The following table includes those data together with the minimum daily
requirements of the nutritional ingredients, as recommended by the Department of Health. The table also
includes the minimum amount of each food that should be included in the meal and its cost.
MINIMUM DAILY
MILK
40
CHEESE
APPLES
Protein
70
50
300
100
Vitamin A
14
100
70
Vitamin B
Vitamin C
Minimum amount
Unit cost (P)
As a dietician for a public school, formulate a model to determine the least-cost meal that meets all the daily
nutritional requirements.
400
60
10
10
0.15 gal
350
60
100
600
100
0.15 Kg.
300
0.10 Ib.
90
Formulate the complete LP model.
Transcribed Image Text:1. Each gallon of milk, kilogram of cheese, and pound of apples provides a known number of milligrams of protein and vitamins A, B, and C. The following table includes those data together with the minimum daily requirements of the nutritional ingredients, as recommended by the Department of Health. The table also includes the minimum amount of each food that should be included in the meal and its cost. MINIMUM DAILY MILK 40 CHEESE APPLES Protein 70 50 300 100 Vitamin A 14 100 70 Vitamin B Vitamin C Minimum amount Unit cost (P) As a dietician for a public school, formulate a model to determine the least-cost meal that meets all the daily nutritional requirements. 400 60 10 10 0.15 gal 350 60 100 600 100 0.15 Kg. 300 0.10 Ib. 90 Formulate the complete LP model.
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