Linear programming solution by steps for two-phase method, Operation Research

Assignment Help:

Solve by Steps for Two-Phase Method

Max Z = 5x1 + 8x2

Subject to

3x1 + 2x2 ≥ 3

x1 + 4x2 ≥ 4

x1 + x2 ≤ 5

    &     x1 ≥ 0, x≥ 0

Answer

Standard LPP

 

Max Z = 5x1 + 8x2  

    Subject to

                        3x1 + 2x2 - s1+ a1 = 3

                        x1 + 4x2 - s2+ a2  = 4

                        x1 + x2 + s3 = 5

                        x1 , x2 , s1, s2, s3, a1, a≥ 0

 

Auxiliary LPP

Max Z* = 0x1 + 0x2 + 0s1 + 0s2 + 0s3 -1a1 -1a2

    Subject to

                        3x1 + 2x2 - s1+ a1 = 3

                        x1 + 4x2 - s2+ a2  = 4

                        x1 + x2 + s3 = 5

                        x1 , x2 , s1, s2, s3, a1, a≥ 0

1377_two-steps-method-LPP.png

 

As all Δj ≥ 0, Max Z* = 0 and no artificial vector appears in the basis, we move to phase II. 

Phase II

266_phase-II.png

As all Δj ≥ 0, optimal basic feasible solution is achieved. Thus the solution is Max Z = 40, x1 = 0, x2 = 5


Related Discussions:- Linear programming solution by steps for two-phase method

Model, disadvantages of model in operational research

disadvantages of model in operational research

Significance and scpope of o.r, significance and scope of operation resarch...

significance and scope of operation resarch in morden management?

Video tapes - report writing presentation , Video  Tapes  Video  t...

Video  Tapes  Video  tapes  are very  information  and attention  grabbing  presentational  supports. They  are  best  for illustrating the  persons  in actions  and presen

Metholodolgy, metholodolgy of operational research

metholodolgy of operational research

Scope, write the scope of operation research

write the scope of operation research

Assignment 2012, Problem 1 (Problem 23, page 507) At a machine tool plant, ...

Problem 1 (Problem 23, page 507) At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a mac

Lcd projectors - reoprt writing presentation , LCD Projectors  LCD...

LCD Projectors  LCD projectors  are several  steps  ahead of conventional OHPs. These  projectors  are more  compact  and more  powerful  and can  be directly  linked to a

Vam, how to solve it

how to solve it

Mba , in a rectangular game pay off matrix of player a is as follows ...

in a rectangular game pay off matrix of player a is as follows B1 B2 A1 5 7 A2 4 0 salve the game write down the pay off matrix of B and then solve the ga

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