Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Please solve the following problem as a linear program.

My diet requires that all the food I eat come from one of 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, cola, and pineapple cheesecake.Each brownie costs 50¢, each scoop of chocolate ice cream costs 20¢, each bottle of cola costs 30¢, and each piece of pineapple cheesecake costs 80¢. Each day, I must ingest at least 500 calories, 6 oz of chocolate, 10 oz of sugar, and 8 oz of fat. The nutritional content per unit of each food is shown in the following table. Formulate a linear programming model that can be used to satisfy my daily nutritional requirements at minimum cost.

 

Nutritional Values for Diet
Type of Food
Calories
Chocolate (Ounces)
Sugar (Ounces)
Fat (Ounces)
Brownie
400
3
Chocolate ice cream
(1 scoop)
Cola (1 bottle)
Pineapple cheesecake
(1 piece)
200
4
150
4
1
500
4
5
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Transcribed Image Text:Nutritional Values for Diet Type of Food Calories Chocolate (Ounces) Sugar (Ounces) Fat (Ounces) Brownie 400 3 Chocolate ice cream (1 scoop) Cola (1 bottle) Pineapple cheesecake (1 piece) 200 4 150 4 1 500 4 5
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