Solve by computational procedure of big – m method, Operation Research

Assignment Help:

Example 2

Max Z = 3x1 - x2

Subject to

            2x1 + x2 ≥ 2

            x1 + 3x2 ≤ 3

            x2 ≤ 4

    &     x1 ≥ 0, x≥ 0

 

Answer

SLPP

Max Z = 3x1 - x2 + 0s1 + 0s2 + 0s3 - M a1

    Subject to

                        2x1 + x2 - s1+ a1= 2

                        x1 + 3x2 + s2  = 3

                        x2 + s3 = 4

                        x1 , x2 , s1, s2, s3, a≥ 0    

 

 

As all Δj ≥ 0, optimal basic feasible solution is achieved. Hence the solution is Max Z = 9, x1 = 3, x2 = 0

 

816_Big_M_Method.png


Related Discussions:- Solve by computational procedure of big – m method

Linear Programming , A paper mill produces two grades of paper viz., X and ...

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 pa

Closed loop, Write a note on tracing a closed loop. What are the characteri...

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

Investigate the link between engine wear and mileage, The Association of Ma...

The Association of Malawi Mechanics has commissioned a study to investigate the link between engine wear and mileage. The main focus of the study is to determine whether the mileag

Determination of the operation, An operation is a combination of different...

An operation is a combination of different actions dealing with raw materials( e, g, men and machines) which form a structure from which an action with regard to broader ob

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Periodical article - report writing presentation , Periodical Article ...

Periodical Article A periodical is a publication that is  published  periodically like  a newspaper a magazine  and a journal. Usually  periodicals have  volume numbers  and n

Describe operation research, Describe Operation Research and discuss its ap...

Describe Operation Research and discuss its applications in various organizations. A company assembles heavy duty refrigerators and uses two types of compressors A & B. Two comp

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Vam, how to solve it

how to solve it

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