Linear programming examples, Operation Research

Assignment Help:

Solved LP Sample Assignment & Questions

A person desires to decide the ingredients of a diet which will satisfy his routine necessities of fats, proteins, and carbohydrates at the minimum cost. The selection is to be made from four different kinds of foods. The yields per unit of these foods are given below in the table.

Food Type

Yield/unit

Cost/Unit

Rs

Proteins

Fats

Carbohydrates

1

3

2

6

45

2

4

2

4

40

3

8

7

7

85

4

6

5

4

65

Minimum Requirement

800

200

700

 

Develop the LP for the problem.

Answer

Assume

x1 - number of units of food type l

     x2 - number of units of food type 2

     x3 - number of units of food type 3

     x4 - number of units of food type 4

 

Minimize Z = 45x1 + 40x2 + 85x3 + 65x4

Subject to

3x1 + 4x2 + 8x3 + 6x4 ≥ 800

2x1 + 2x2 + 7x3 + 5x4 ≥ 200

6x1 + 4x2 + 7x3 + 4x4 ≥ 700

                        x1≥0, x2 ≥0, x3≥0, x4≥0

 


Related Discussions:- Linear programming examples

Vam, how to solve it

how to solve it

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Verification of hypothesis, Analysis of Available Information and Verific...

Analysis of Available Information and Verification of Hypothesis: most of the time that a scientist spends in training is devoted to learning how to analyze and int

Periodicals and serials - classification of documents, Periodicals and Seri...

Periodicals and Serials: Periodical publications form an important part of today's information world. It is one of the oft chosen forms of research communication. There are ov

Scattered responsibility and authority, Scattered Responsibility and Autho...

Scattered Responsibility and Authority: In a big industry responsibility and authority of decisions making is scattered throughout the organization and thus the organization.

Types of correlation - correlation & regression analysis, Types of Correlat...

Types of Correlation 1. Positive Correlation : When the values  of two variables move  in the  same direction .e.  when an increase in  the values  of one  variables  is ass

Mathematical Model, What is meant by a mathematical model of a real situati...

What is meant by a mathematical model of a real situation? Discuss the importance of models in the solution of Operations research problems

OR, what is operation research an management decision making

what is operation research an management decision making

Mb0048, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ, X AND Y. BECAUSE OF ...

A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ, X AND Y. BECAUSE OF RAW MATERIALS RESTRICTIONS, IT CANNOT PRODUCE MORE THAN 400 TONS OF GRADE X PAPER AND 300 TONS OF GRADE Y PAPER I

Machine tabulation, Machine  Tabulation This methods  of tabulating i...

Machine  Tabulation This methods  of tabulating information  is generally used in  case of extensive  large scale  surveys. Mechanical sorting and tabulating equipments and su

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