Homework Help is Here – Start Your Trial Now!
Business
Operations Management
meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate a Linear programming model to determine how many grams of each foodstuff should be served to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision

meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate a Linear programming model to determine how many grams of each foodstuff should be served to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
See similar textbooks
icon
Related questions
Question
Q2. A dietician is planning a food menu consisting of three major food stuffs A, B, and C. Each gram of A contains 4 units of protein, 3 units of carbohydrates, and 5 units of fat. Each gram of B contains 2, 4, and 3 units of protein, carbohydrates, and fat, respectively; and each gram of C contains 4, 2, and 5 units of protein, carbohydrates, and fat, respectively. The dietician wants the meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate a Linear programming model to determine how many grams of each foodstuff should be served to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision variables. Write the objective function, and the constraints. Indicate sign restrictions. Do not try to solve the problem.)
Transcribed Image Text:Q2. A dietician is planning a food menu consisting of three major food stuffs A, B, and C. Each gram of A contains 4 units of protein, 3 units of carbohydrates, and 5 units of fat. Each gram of B contains 2, 4, and 3 units of protein, carbohydrates, and fat, respectively; and each gram of C contains 4, 2, and 5 units of protein, carbohydrates, and fat, respectively. The dietician wants the meal to provide at least 550 units of fat, at least 260 units of carbohydrates, and at least 430 units of protein. If 1 kg of A costs $26.70, 1 kg of B costs $30, and 1 kg of C costs $23.80. Formulate a Linear programming model to determine how many grams of each foodstuff should be served to minimize the cost of the meal and satisfy the dietician's requirements. (Define the decision variables. Write the objective function, and the constraints. Indicate sign restrictions. Do not try to solve the problem.)
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
SEE MORE TEXTBOOKS