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
Scenario: You work as a junior employee in the marketing department of a medium-sized Hong Kong organisation. One of your major tasks is your involvement in your organization's

what are the classifications of operations research?

Write a note on tracing a closed loop. What are the characteristic features of a closed loop?

Q2.Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignm

Data and Information: The term "data" (plural form of datum) refers to "an individual fact, statistic, or a piece of information or a group or a body of facts, statistics or t

.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

Question: (a) Distinguish between (i) a single-channel and a multiple-channel waiting line; (ii) a birth and a death process with regard to queueing theory. (b) Explain

procedure of modi method

Individual User Interests: More specific information about users could cover the following:  Subjects and associated interest - e.g. specific subjects, allied subjects;

Question : (a) (i) What do you understand by the term "operations research"? (ii) Discuss three common operations research models. (b) Self-service at the university c