My diet requires that all the food I eat come from the four "basic
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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![My diet requires that all the food I eat come from the four "basic food groups" (chocolate
cake, ice cream, soda, and cheesecake). At present, the following four foods are available for
consumption: brownies, chocolate ice cream, coke, and cheesecake. . Each brownie costs P6, each
scoop of ice cream costs P10, each bottle of coke costs P9 and each piece of cheesecake costs P5. Each
day, I must ingest at least 700 calories, 6 oz of chocolate, 10 oz of sugar and 8 oz of fat. The nutritional
content per unit of each food is shown below. Formulate a linear programming model that can be used
to satisfy my daily nutritional requirements at minimum cost.
Calories Chocolate
(ounces)
Sugar
(ounces) (ounces)
Fat
Brownie (1 piece)
Chocolate ice cream (1
300
3
2
2
200
2
4
scoop)
Coke (1 bottle)
Cheesecake (1 piece)
150
4
1
350
4
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F551b23f3-1613-414a-ab4c-5733a7959d26%2F70e25fd0-f006-4a56-aae2-bf0b0912ae55%2Fyef2z38_processed.png&w=3840&q=75)
Transcribed Image Text:My diet requires that all the food I eat come from the four "basic food groups" (chocolate
cake, ice cream, soda, and cheesecake). At present, the following four foods are available for
consumption: brownies, chocolate ice cream, coke, and cheesecake. . Each brownie costs P6, each
scoop of ice cream costs P10, each bottle of coke costs P9 and each piece of cheesecake costs P5. Each
day, I must ingest at least 700 calories, 6 oz of chocolate, 10 oz of sugar and 8 oz of fat. The nutritional
content per unit of each food is shown below. Formulate a linear programming model that can be used
to satisfy my daily nutritional requirements at minimum cost.
Calories Chocolate
(ounces)
Sugar
(ounces) (ounces)
Fat
Brownie (1 piece)
Chocolate ice cream (1
300
3
2
2
200
2
4
scoop)
Coke (1 bottle)
Cheesecake (1 piece)
150
4
1
350
4
5
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