Solve by computational procedure of big – m method, Operation Research

Assignment Help:

Example 2

Max Z = 3x1 - x2

Subject to

            2x1 + x2 ≥ 2

            x1 + 3x2 ≤ 3

            x2 ≤ 4

    &     x1 ≥ 0, x≥ 0

 

Answer

SLPP

Max Z = 3x1 - x2 + 0s1 + 0s2 + 0s3 - M a1

    Subject to

                        2x1 + x2 - s1+ a1= 2

                        x1 + 3x2 + s2  = 3

                        x2 + s3 = 4

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

 

 

As all Δj ≥ 0, optimal basic feasible solution is achieved. Hence the solution is Max Z = 9, x1 = 3, x2 = 0

 

816_Big_M_Method.png


Related Discussions:- Solve by computational procedure of big – m method

Liner programming problem, A constraints in an LPP restricts? (Value of obj...

A constraints in an LPP restricts? (Value of objective function,Value of decision variable,Use of available resources, uncertainty of optimum value) please help me to find out righ

Goal programming, Goal Programming This provides a more realistic model...

Goal Programming This provides a more realistic model. In a modern setting, profit maximization may not be the only objective of a business concern. Other objectives or goals c

Characteristics of scientific research, Horton and hunt have given follow...

Horton and hunt have given followings nine characteristics of scientific method: 1. Verifiable evidence i e, factual observations which other observers can see and check

Mode of presentation - report writing presentation, Mode  of Presentation...

Mode  of Presentation A strategy  needs to be  chalked out for  a satisfactory  rendering of the  topic. The  man oeuvres are going  t vary  with a  change in the  manner  of

Job sequencing problem, on which basis we take value in time out time in co...

on which basis we take value in time out time in column?

Determine the weekly demand and lead time, Family Application specialises i...

Family Application specialises in selling major appliances for use in kitchen remodelling.  One of its more popular items is the SubZero refrigerator.  Over the past 40 weeks, the

Equation, A paper mill produces two grades of paper viz., X and Y. Because ...

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 i

Research methodology, In research methodology we not only discuss the res...

In research methodology we not only discuss the research methods but also consider the logic behind the method we use in the context of our research study and explain wh

Two sample tests- hypothesis testing, Two Sample Tests In some  situat...

Two Sample Tests In some  situation the researchers may be taking  statistical decisions based on two samples. Each  of the  two  samples may  represent a particular under con

LINEAR PROGRAMMING, Meaning of Linear programming problem and explanation o...

Meaning of Linear programming problem and explanation of graphical method of solving Linear Programming Problem

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