2) Sera loves steaks and potatoes. Therefore, she has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all her meals. Sera realizes that this isn't the healthiest diet, so she wants to make sure that she eats the right quantities of the two foods to satisfy some key nutritional requirements. She has obtained the nutritional and cost information shown in the following tabie: Quantity of ingredient (in gram) Serve Minimum daily Potatoes 15 Ingredient Carbohydrates Protein Fat Cost/Serve Steak requirement (in gram) 50 5 20 5 40 60 15 $4 $2 Sera wishes to determine the number of daily serves of steak and potatoes that will meet these requirements at a minimum cost. (a) Formulate the problem as a linear programming model for this problem. (b) Use the Big-M method to solve this problem.
2) Sera loves steaks and potatoes. Therefore, she has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all her meals. Sera realizes that this isn't the healthiest diet, so she wants to make sure that she eats the right quantities of the two foods to satisfy some key nutritional requirements. She has obtained the nutritional and cost information shown in the following tabie: Quantity of ingredient (in gram) Serve Minimum daily Potatoes 15 Ingredient Carbohydrates Protein Fat Cost/Serve Steak requirement (in gram) 50 5 20 5 40 60 15 $4 $2 Sera wishes to determine the number of daily serves of steak and potatoes that will meet these requirements at a minimum cost. (a) Formulate the problem as a linear programming model for this problem. (b) Use the Big-M method to solve this problem.
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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Transcribed Image Text:2) Sera loves steaks and potatoes. Therefore, she has decided to go on a steady diet of only these two foods (plus
some liquids and vitamin supplements) for all her meals. Sera realizes that this isn't the healthiest diet, so she
wants to make sure that she eats the right quantities of the two foods to satisfy some key nutritional
requirements. She has obtained the nutritional and cost information shown in the following table:
Quantity of ingredient (in gram) Serve | Minimum daily
Potatoes
15
5
2
$2
Steak
requirement (in gram)
Ingredient
Carbohydrates
Protein
50
40
20
Fat
Cost/Serve
15
$4
60
Sera wishes to determine the number of daily serves of steak and potatoes that will meet these requirements at a
minimum cost.
(a) Formulate the problem as a linear programming model for this problem.
(b) Use the Big-M method to solve this problem.
(C) Use the 2-Phase method to solve the LPp formulated in (a) above.
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