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

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

Discuss how theories is helpful researchers in communication, QUESTION 1 ...

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

''qualitative generic research'', Use the following article on qualitative ...

Use the following article on qualitative approaches written by Kahlke (2014), http://ejournals.library.ualberta.ca/index.php/IJQM/article/viewFile/19590/16141/ to answer the fol

Rank sum test the mann whitney u - test, RANK SUM TEST THE  MANN WHITNEY U...

RANK SUM TEST THE  MANN WHITNEY U - TEST Mann  Whitney u test is an alternative to the  samples  test. This  test is based  on the ranks  of the  observation of two samples pu

How to solve operation research optimization questions, how to solve operat...

how to solve operation research optimization questions

Solve by simplex method, Solve by simplex method Maximize Z = 5...

Solve by simplex method Maximize Z = 5x 1 + 3x 2 Subject to 3x 1 + 5x 2 ≤ 15 5x 1 + 2x 2 ≤ 10 &         x 1 ≥ 0, x 2  ≥ 0 [Ans. Max Z = 235/19

Reports - classification of documents, Reports: Report literature is a...

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

Model building, model building is the essence of the operational research d...

model building is the essence of the operational research discuss

LLP, 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

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