My diet requires that all the food I eat come from the four "basic

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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
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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