Linear programming problem formulation
Not what you're looking for?
A registered nurse is trying to develop a diet plan for patients. The required nutritional elements are the total daily requirements of each nutritional element are as indicated in table 2:
Table 2
(Required Nutritional Element Total and Daily Requirements)
Calories Not more than 2,700 calories
Carbohydrates Not less than 300 grams
Protein Not less than 250 grams
Vitamins Not less than 60 units
The nurse has four basic types to use when planning the menus. The units of nutritional elements per unit of food type are shown in the table below. Note than the cost associated with a unit of ingredient also appears at the bottom of table 3.
Table 3
(Required Nutritional Element and Units of Nutritional Elements Per Unit of Food Type)
Element Milk Chicken Bread Vegetables
Calories 160 210 120 150
Carbohydrates 110 130 110 120
Protein 90 190 90 130
Vitamins 50 50 75 70
Cost per unit $0.42 $0.68 $0.32 $0.17
Moreover, due to dietary restrictions, the following aspects should also be considered when the developing the diet plan:
i) The chicken food type should contribute at most 25% of the total calories intake that will result from the diet plan.
ii) The vegetable food type should provide at least 30% of the minimum daily requirements for vitamins.
Provide a linear programming formulation for the above case.
Purchase this Solution
Solution Summary
This posting contains a formulation to following LPP.
Solution Preview
Hi
Please find attached response to your problem.
Regards
STUDENT COMMENT:
I've two ...
Purchase this Solution
Free BrainMass Quizzes
Basic Social Media Concepts
The quiz will test your knowledge on basic social media concepts.
Balance Sheet
The Fundamental Classified Balance Sheet. What to know to make it easy.
Business Ethics Awareness Strategy
This quiz is designed to assess your current ability for determining the characteristics of ethical behavior. It is essential that leaders, managers, and employees are able to distinguish between positive and negative ethical behavior. The quicker you assess a person's ethical tendency, the awareness empowers you to develop a strategy on how to interact with them.
Paradigms and Frameworks of Management Research
This quiz evaluates your understanding of the paradigm-based and epistimological frameworks of research. It is intended for advanced students.
Organizational Leadership Quiz
This quiz prepares a person to do well when it comes to studying organizational leadership in their studies.