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

''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

Rehearse - report writing presentation , Rehearse Making  presentat...

Rehearse Making  presentation is not  simple. It  is extremely  important  for us  to realize the sanctity of rehearsing  to improve the quality of the presentation. Unless

Process, process of operation research

process of operation research

Standara deviation - measure of dispersion , STANDARA DEVIATION Standa...

STANDARA DEVIATION Standard  deviation  is the  square  root of the  arithmetic  average of  squares of all  the deviations from the  mean. In short  it may  be defined  as th

Describe the demand curve, The following equation gives Jane's linear deman...

The following equation gives Jane's linear demand curve for visits to a nearby national park.  Q is the number of visits per week and P represents the price of a pass (price per vi

Construction of a mathematical model, The 2 nd phase of operations Resear...

The 2 nd phase of operations Research is to construct a mathematical model representing the system under study. It requires the identification of both static and dynam

Short question, write down any two assumption of L.P

write down any two assumption of L.P

Variables, Variables A concept which varies is variable. These can be ...

Variables A concept which varies is variable. These can be different in quantitative values. For example, weight, height, income are examples of variables. Qualitative phenom

Principles of report writing, Principles of Report Writing Reports wri...

Principles of Report Writing Reports writing  may  involve the followings principles . a. Easy to Follow : The body of the  report should  be written in a self evident and

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