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 nutritional requirements. He has obtained the following nutritional and cost information. Grams of Ingredient per Serving Ingredient Steak Potatoes 5 20 15 Carbohydrates 15 Protein 5 Fat 2 Cost per Serving $4 $2 Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these requirements at a minimum cost. Daily Requirements (gms) Use the graphical method to solve this model, >=50 >=40 <=60 a. Identify verbally the decisions to be made, the constraints on these decisions, and the overall measure of performance for the decisions. b. Convert these verbal descriptions of the constraints and the measure of performance into quantitative expressions in terms of the data and decisions. c. Formulate and solve a linear programming model for this problem on a spreadsheet. d. Formulate this same model algebraically.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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 nutritional
requirements. He has obtained the following nutritional and cost information.
Grams of Ingredient per Serving
Potatoes
Ingredient
Steak
Carbohydrates
15
Protein
5
Fat
2
Cost per Serving
$4
$2
Ralph wishes to determine the number of daily servings (may be fractional) of steak
and potatoes that will meet these requirements at a minimum cost.
5
20
15
Daily Requirements (gms)
Use the graphical method to solve this model.
>=50
>=40
<=60
a. Identify verbally the decisions to be made, the constraints on these
decisions, and the overall measure of performance for the decisions.
b. Convert these verbal descriptions of the constraints and the measure
of performance into quantitative expressions in terms of the data and
decisions.
c. Formulate and solve a linear programming model for this problem on
a spreadsheet.
d. Formulate this same model algebraically.
Transcribed Image Text: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 nutritional requirements. He has obtained the following nutritional and cost information. Grams of Ingredient per Serving Potatoes Ingredient Steak Carbohydrates 15 Protein 5 Fat 2 Cost per Serving $4 $2 Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these requirements at a minimum cost. 5 20 15 Daily Requirements (gms) Use the graphical method to solve this model. >=50 >=40 <=60 a. Identify verbally the decisions to be made, the constraints on these decisions, and the overall measure of performance for the decisions. b. Convert these verbal descriptions of the constraints and the measure of performance into quantitative expressions in terms of the data and decisions. c. Formulate and solve a linear programming model for this problem on a spreadsheet. d. Formulate this same model algebraically.
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