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

U.S. Healthcare Timeline, 500 word summary written in third person on predi...

500 word summary written in third person on predictions of how current healthcare reform polocies will impact the future of healthcare

Linear programming, #questiona paper mill produce two grades of x&y.becouse...

#questiona paper mill produce two grades of x&y.becouse of raw material reswtriction

Mean deviation - measure of dispersion, MEAN DEVIATION Mean  deviati...

MEAN DEVIATION Mean  deviation of a series is the arithmetic  average of the  deviations of various  items  from the  median  or mean  of that series. Median is preferred

Data management, Data Management As your  research project progresses ...

Data Management As your  research project progresses you will  quickly  gather more  and more  data. These need  to be managed in such  a way that they  can be  accesses and

Calculation of standard deviation - discrete series, Calculation  of Stand...

Calculation  of Standard Deviation - Discrete Series   There are three methods for  calculating  standard  deviation  in discrete series": a. Actual Mean Methods: It inc

Calculation of standard deviation - continuous series, Calculation of Stand...

Calculation of Standard Deviation - Continuous Series: In the continuous series the methods of calculation standard deviation is almost the same as in a discrete frequency distrib

Describe states-transitions and transition rate, Customers arrive to a supe...

Customers arrive to a super market according to a Poisson process with intensity V = ½  per minute. The supermarket has two counters, that use a common queue. Counter 1 is always o

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