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3.4-9. Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that this isn't the healthiest diet, so he wants to make sure that he eats the right quantities of the two foods to satisfy some key nutri- tional requirements. He has obtained the nutritional and cost infor- mation shown at the top of the next column. Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these require- ments at a minimum cost. (a) Formulate a linear programming model for this problem. D.I (b) Use the graphical method to solve this model. c (c) Use a computer to solve this model by the simplex method.

3.4-9. Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that this isn't the healthiest diet, so he wants to make sure that he eats the right quantities of the two foods to satisfy some key nutri- tional requirements. He has obtained the nutritional and cost infor- mation shown at the top of the next column. Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these require- ments at a minimum cost. (a) Formulate a linear programming model for this problem. D.I (b) Use the graphical method to solve this model. c (c) Use a computer to solve this model by the simplex method.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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3.4-9. Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that this isn't the healthiest diet, so he wants to make sure that he eats the right quantities of the two foods to satisfy some key nutri- tional requirements. He has obtained the nutritional and cost infor- mation shown at the top of the next column. Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these require- ments at a minimum cost. (a) Formulate a linear programming model for this problem. DI (b) Use the graphical method to solve this model. c (c) Use a computer to solve this model by the simplex method.
Transcribed Image Text:3.4-9. Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that this isn't the healthiest diet, so he wants to make sure that he eats the right quantities of the two foods to satisfy some key nutri- tional requirements. He has obtained the nutritional and cost infor- mation shown at the top of the next column. Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these require- ments at a minimum cost. (a) Formulate a linear programming model for this problem. DI (b) Use the graphical method to solve this model. c (c) Use a computer to solve this model by the simplex method.
Grams of Ingredient per Serving Daily Requirement (Grams) Ingredient Steak Potatoes Carbohydrates Protein 2 50 2 40 s 60 5 15 20 5 Fat 15 2 Cost per serving $4 $2
Transcribed Image Text:Grams of Ingredient per Serving Daily Requirement (Grams) Ingredient Steak Potatoes Carbohydrates Protein 2 50 2 40 s 60 5 15 20 5 Fat 15 2 Cost per serving $4 $2
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