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

lp-model and markov decision problem, The supply of a certain good is insp...

The supply of a certain good is inspected periodically. If an order is placed of size x >0 (integer), the ordering costs are 8+2. x. The delivery time is zero. The demand is stoc

Both LP and PIP, marginal rate of substitution, degeneracy and degenerate ...

marginal rate of substitution, degeneracy and degenerate solution

Describe multinational corporations, Question 1 -Though society as well as...

Question 1 -Though society as well as culture do not appear to be a part of business situations, yet they are actually key elements in showing how business activities will be cond

information on research done, Information on Research Done Informatio...

Information on Research Done Information on Doctoral research work already done  is available from  the followings  sources: a. Bibliography of Doctoral  Dissertations Acce

ASSIGNMENT, #A paper mill produces two grades of paper viz., X and Y. Becau...

#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

Steps involved in linear programming problem formulation, Question A - Line...

Question A - Linear Programming is most widely used technique for large number of applications in business industry as well as in various other fields. Describe in brief the steps

Classification of documents by physical characteristics, CLASSIFICATION OF ...

CLASSIFICATION OF DOCUMENTS  BY PHYSICAL CHARACTERISTICS : Documents of various types have been classified  on the basis of their physical characteristics, familiarity

Markov analysis, The town of Silverton, Colorado, has three gasoline statio...

The town of Silverton, Colorado, has three gasoline stations, Shell, Exxon, and Arco. Customer selection of service stations can be modeled as a Markov process, with the following

Quantitative research methods, Select one of the topics listed 1-6 below ...

Select one of the topics listed 1-6 below and outline a programme of quantitative research for its investigation.  The assignment  should cover issues of sample design, instrumen

Pay-off matrix , In a rectangular game, pay-off matrix of player A is as fo...

In a rectangular game, pay-off matrix of player A is as follows: Player B B1 B2 Player A A1 A2 i) Solve the game. ii) Write down the pay-off matrix of B and th

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