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 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

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

Web based emergency operations center, You are the emergency manager for Ch...

You are the emergency manager for Cheyenne County in a western state. Cheyenne County is located mid-way between two major urban areas and has historically been a rural county. The

Information concept and characteristics, INFORMATION AND OTHER RELATED CONC...

INFORMATION AND OTHER RELATED CONCEPTS - THEIR MEANING AND CHARACTERISTICS: You may often hear or read in newspapers and other popular magazines about "exponential growth of i

Manner of presentation - report writing presentation, Manner of Presentatio...

Manner of Presentation  Decide  whether  you wish  to achieve  your  objective by a formal  presentation or a  non formal  type  of presentation. As  discussed  earlier the

Meaning of research report - report writing presentation, Meaning of Resear...

Meaning of Research Report Research  report is the process of communicating  the  results  of an investigation it  is a document which  reflect about  the research conducted a

Distribution methods, 1: explain vogel''s approximation method? 2: explain ...

1: explain vogel''s approximation method? 2: explain optimality test?

Paired sample sign test - hypothesis testing , Paired sample  sign Test ...

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

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