linear programing, Other Engineering

Assignment Help:
Description of the Diet Problem
The goal of the diet problem is to find an ”optimal” combination of foods that will satisfy all the daily nutritional requirements of an individual. The problem can be formulated as a linear program with an objective and constraints which require that daily nutritional needs be satisfied. We include constraints that regulate the number of calories and amounts of vitamins, minerals, fats, sodium and cholesterol in the diet.
The original mathematical formulation is simple, but you will find out (from Dantzig’s article) by running the simple model, the diet returns is far from optimal. While our nutritional requirements can be met, there is serious concerns for taste and variety. As Dantzig’s diet problem illustrates, we would never drink gallons of vinegar nor include a few boullion cubes in our meals. However, with careful design of the linear/integer program, healthy optimal meals have been created very successfully.
Formulate the diet problem for your own:
• Select a variety of 100 favorite types of food that you would eat. Do not use any fastfood or pre- processed food. Hence, a sandwich will consist of bread and ham, or peanut butter, jelly, etc. If bread is chosen in the solution, then, ham/peanut butter and jelly will also be chosen, etc.
• UsingthenutritioninformationfromUSDepartmentofAgriculturehttps://www.nal.usda.gov/fnic/foodcomp/ to determine the nutritional value and cost (per serving size) of each of the food you select.
• Generate the AMPL data file.
• Select an objective of your choice.
• Formulate a linear/integer program using AMPL so that the feasible solutions give you the food combination that satisfies the daily nutritional needs for a healthy individual.
• Solve the linear program in CPLEX and LINDO and interpret the results.

Related Discussions:- linear programing

ENMIN5018, Design a detailed surface mine excavation plan. Detail developme...

Design a detailed surface mine excavation plan. Detail development requirements. Detail Production requirements including a full description of the method selected. Number of produ

Aircraft internal and external markings, AIRCRAFT INTERNAL AND EXTERNAL MAR...

AIRCRAFT INTERNAL AND EXTERNAL MARKINGS SMOKING IN AIRCRAFT - Reference: ANO Article 66 and JAR-25.791 Every aircraft registered in the U.K. must have a notice indicati

Gas Furnace, Furnace limit switches are wired in series with the?

Furnace limit switches are wired in series with the?

Aviation legislation - Variant Aircraft, Variant Aircraft A variant air...

Variant Aircraft A variant aircraft is one that embodies certain design features which differ from one for which a Certificate of Airworthiness (C of A) has previously been iss

Switching transistors, SWITCHING TRANSISTORS When a transistor is to be...

SWITCHING TRANSISTORS When a transistor is to be used as a switching device, it operates either as an open circuit (i.e. in the cut-off region) or as a short circuit (i.e. in t

Optics, If the light source in figure 12.1 (see figure below) of the Warren...

If the light source in figure 12.1 (see figure below) of the Warren Smith text is replaced by a 100W light bulb, and the lens aperture is 20cm, what would the 1cm detector at point

Engineering Economy, I need the answers of these three problems. 1. How muc...

I need the answers of these three problems. 1. How much money would be in a savings count that started with a deposit of $2,000 in year 1 with each succeeding amount increasing by

Aircraft controls, The aerodynamic flight controls of a typical aeroplane ...

The aerodynamic flight controls of a typical aeroplane include ailerons (British: ξ ("Xi"); US: da or δa), elevator (British: η ("eta"); US de or δe), and rudder (British: ζ ("zeta

Describe the processes of a cdma system, Question: (a) Describe the spr...

Question: (a) Describe the spreading and dispreading processes of a CDMA system. (b) Autocorrelation properties are used to recover the signals correctly at the receiver. Ex

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd