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

Replacement theory.., a pipe lis dur for rpair,the repair would cost 10000 ...

a pipe lis dur for rpair,the repair would cost 10000 and it would last for 3 years.alternatively a new pipe line can be purchase at 30000 for 10 years.assuming 10% depriciation rat

Research and development - information generation process, Research and Dev...

Research and Development: All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is

Area under standard normal curve, Area under Standard Normal Curve The...

Area under Standard Normal Curve The graph  of the  standard  normal  curve y = p(z) with  different percentages areas is  shown here. Since p(z) is  a probability  distributi

Importance of normal distribution , Importance of Normal Distribution ...

Importance of Normal Distribution Normal distribution  plays  a very  important  role in  statistical  theory  and in  particular  in sampling theory. It has  been  found  th

Conclusions and recommendations , Conclusions and Recommendations  Con...

Conclusions and Recommendations  Conclusions  should  be drawn with  direct  reference to the objectives  of the study. The  readers should  be able  to read the objectives. T

Decision making - operation research, Decision making is not only the h...

Decision making is not only the headache of management rather all of us make decisions. We daily decide about minor issues. The essential characteristics of all decisions

One sample sign test - hypothesis testing , One Sample sign Test In...

One Sample sign Test In a one  sample  test the  null  hypothesis μ = μ 0 against an  appropriate alternative on the basis of a random sample of size n we replace each sam

Posson distribution - probability distribution , POSSON DISTRIBUTION ...

POSSON DISTRIBUTION   In binomial  distribution the value of n was  finite. But  there are few  problems  when  cannot  be estimated. So in these  binomial  distribution

Operation Research.., 3. Explain ‘Vogel Approximation Model (VAM)’.? answer...

3. Explain ‘Vogel Approximation Model (VAM)’.? answer please

Model building is the essence of the operations research app, Model buildin...

Model building is the essence of the operations research approaches?

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