Ralph Edmund loves steaks and potatoes. Therefore, he has d to go on a steady diet of only these two foods (plus some and vitamin supplements) for all his meals. Ralph realizes s isn't the healthiest diet, so he wants to make sure that he right quantities of the two foods to satisfy some key nutri- requirements. He has obtained the nutritional and cost infor- shown at the top of the next column. alph wishes to determine the number of daily servings (may =tional) of steak and potatoes that will meet these require- at a minimum cost. mulate a linear programming model for this problem. Use the graphical method to solve this model. Jse a computer to solve this model by the simpley method

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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3.4-5. 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.
Ingredient
Carbohydrates
Protein
Fat
Cost per serving
Grams of Ingredient
per Serving
Steak
5
20
15
$8
Potatoes
552
15
$4
Daily Requirement
(Grams)
≥ 50
≥ 40
≤ 60
Transcribed Image Text:3.4-5. 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. Ingredient Carbohydrates Protein Fat Cost per serving Grams of Ingredient per Serving Steak 5 20 15 $8 Potatoes 552 15 $4 Daily Requirement (Grams) ≥ 50 ≥ 40 ≤ 60
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