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

How to solve operation research optimization questions, how to solve operat...

how to solve operation research optimization questions

Determination of effectiveness measures, Determination of effectiveness Mea...

Determination of effectiveness Measures: Effectiveness measure is a measure of success of a model in representing a problem and providing a solution. It is the connecting link

Decision tree approach, Question: Spencerville Products is expanding ...

Question: Spencerville Products is expanding its operations west of the Mississippi.  Its first step is to build a manufacturing facility in Denver to satisfy demand on the W

Determination of objectives and values, In the judgement phase due care ...

In the judgement phase due care must be given to define correctly the frame of references of the operation. Objectives and values, whether economic social or aesthetic shoul

Linear programming solution by steps for two-phase method, Solve by Steps f...

Solve by Steps for Two-Phase Method Max Z = 5x 1 + 8x 2 Subject to 3x 1 + 2x 2 ≥ 3 x 1 + 4x 2 ≥ 4 x 1 + x 2 ≤ 5     &     x 1 ≥ 0, x 2  ≥ 0 Answe

One tailed and two tailed tests -hypothesis testing , Normal 0 ...

Normal 0 false false false EN-IN X-NONE X-NONE

Lpp, a paper mill prodecs two grades of paper viz., X and Y. Because of raw...

a paper mill prodecs 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 in

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