Linear programming examples, Operation Research

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

 

Posted Date: 7/4/2012 3:18:32 AM | Location : United States







Related Discussions:- Linear programming examples, Assignment Help, Ask Question on Linear programming examples, Get Answer, Expert's Help, Linear programming examples Discussions

Write discussion on Linear programming examples
Your posts are moderated
Related Questions
QUESTION 1 i) What do you understand by the following terms? And what is their role in communication theories? Ontology Epistemology Axiology ii) Discuss how

Paired sample  sign Test Paired samples  sign test is applied  to a situation where two sample  are taken from  two population which  have continuous symmetrical distributi

Reports: Report literature is an important primary source of information, particularly  for a research library. This new  medium for communication of information came into bei

Summary  Report The  report  format  suggested  above  does  not  contain  any  summary  section. This exclusion  is deliberate. The summary  should  not be  prepared until t

What is the role of decision making in OR

#q 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 pape

disadvantages of model in operational research

how the sequencing techniques help the manager


Graphs of Time Series A time  series  is a sequence of values  corresponding  to successive points  of time. Time  series  are  graphed  with time  on the x axis  and the  oth