Nutri-Jenny is a weight-management center. It produces a wide variety of frozen entrées for consumption by its clients. The entrées are strictly monitored for nutritional content to ensure that the clients are eating a balanced diet. One new entrée will be a beef sirloin tips dinner. It will consist of beef tips and gravy, plus some combination of peas, carrots, and a dinner roll. Nutri-Jenny would like to determine what quantity of each item to include in the entrée to meet the nutritional requirements, while costing as little as possible. The nutritional information for each item and its cost are given in the accompanying table. The nutritional requirements for the entrée are as follows: Unit Cost (per ounce) Calories Fat Calories Vitamin A (IU) Vitamin C (mg) Protein (g) Beef Gravy Peas Carrots Roll $0.40 $0.35 $0.15 $0.18 $0.10 Beef Nutritional Data (per ounce) 20 8 15 15 0 0 0 1 0 Gravy 54 19 0 0 8 15 3 1 Peas 350 1 1 40 10 0 0 1 Carrots Click here for the Excel Data File (1) it must have between 275 and 315 calories, (2) calories from fat should be no more than 30 percent of the total number of calories, and (3) it must have at least 595 IUs of vitamin A, 5 milligrams of vitamin C, and 25 grams of protein. Needed 275 Furthermore, for practical reasons, it must include at least 2 ounces of beef, and it must have at least half an ounce of gravy per ounce of beef. Formulate and solve a linear programming model for this problem on a spreadsheet by using the Excel Solver. a. Determine the quantity of each food item used. Note: Round your answers to 2 decimal places. …..………….…………………..….. - 595 5 25 Maximum 315 Roll
Nutri-Jenny is a weight-management center. It produces a wide variety of frozen entrées for consumption by its clients. The entrées are strictly monitored for nutritional content to ensure that the clients are eating a balanced diet. One new entrée will be a beef sirloin tips dinner. It will consist of beef tips and gravy, plus some combination of peas, carrots, and a dinner roll. Nutri-Jenny would like to determine what quantity of each item to include in the entrée to meet the nutritional requirements, while costing as little as possible. The nutritional information for each item and its cost are given in the accompanying table. The nutritional requirements for the entrée are as follows: Unit Cost (per ounce) Calories Fat Calories Vitamin A (IU) Vitamin C (mg) Protein (g) Beef Gravy Peas Carrots Roll $0.40 $0.35 $0.15 $0.18 $0.10 Beef Nutritional Data (per ounce) 20 8 15 15 0 0 0 1 0 Gravy 54 19 0 0 8 15 3 1 Peas 350 1 1 40 10 0 0 1 Carrots Click here for the Excel Data File (1) it must have between 275 and 315 calories, (2) calories from fat should be no more than 30 percent of the total number of calories, and (3) it must have at least 595 IUs of vitamin A, 5 milligrams of vitamin C, and 25 grams of protein. Needed 275 Furthermore, for practical reasons, it must include at least 2 ounces of beef, and it must have at least half an ounce of gravy per ounce of beef. Formulate and solve a linear programming model for this problem on a spreadsheet by using the Excel Solver. a. Determine the quantity of each food item used. Note: Round your answers to 2 decimal places. …..………….…………………..….. - 595 5 25 Maximum 315 Roll
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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Transcribed Image Text:New Exercise Bank Content Qu. 05-21
Nutri-Jenny is a weight-management center. It produces a wide variety of frozen entrées for consumption by its clients. The entrées
are strictly monitored for nutritional content to ensure that the clients are eating a balanced diet. One new entrée will be a beef sirloin
tips dinner. It will consist of beef tips and gravy, plus some combination of peas, carrots, and a dinner roll. Nutri-Jenny would like to
determine what quantity of each item to include in the entrée to meet the nutritional requirements, while costing as little as possible.
The nutritional information for each item and its cost are given in the accompanying table. The nutritional requirements for the entrée
are as follows:
Unit Cost (per ounce)
Calories
Fat Calories
Vitamin A (IU)
Vitamin C (mg)
Protein (g)
Beef Gravy Peas Carrots Roll
$0.40 $0.35 $0.15 $0.18 $0.10
Beef
Nutritional Data (per ounce)
20
8
15
15
0
0
0
15
3
1
Click here for the Excel Data File
54
19
0
Gravy
Total cost
0
8
1
0
350
1
1
40
10
0
0
Peas
1
(1) it must have between 275 and 315 calories,
(2) calories from fat should be no more than 30 percent of the total number of calories, and
(3) it must have at least 595 IUs of vitamin A, 5 milligrams of vitamin C, and 25 grams of protein.
Needed
275
Furthermore, for practical reasons, it must include at least 2 ounces of beef, and it must have at least half an ounce of gravy per ounce
of beef.
Formulate and solve a linear programming model for this problem on a spreadsheet by using the Excel Solver.
a. Determine the quantity of each food item used.
Note: Round your answers to 2 decimal places.
Carrots
*******………………….
595
5
25
Maximum
315
Roll
b. Determine the total cost.
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
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