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

Data and information, Data and Information: The term "data" (plural fo...

Data and Information: The term "data" (plural form of datum) refers to "an individual fact, statistic, or a piece of information or a group or a body of facts, statistics or t

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Optimal assigment, #quesSix Operators are to be assigned to five jobs with ...

#quesSix Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assig

Markov chain models - operation research model, These models are used for a...

These models are used for analyzing a system which changes over a period of time among various possible outcomes or states. The models while dealing with such systems describe tra

Scope and concept, Explian scope and concept of Operations research?

Explian scope and concept of Operations research?

Scientific research, Scientific research is building of knowledge throug...

Scientific research is building of knowledge through collection of empirically verifiable facts. The term verifiable here means which can be checked by others for accuracy

Methods of survey and study, Methods of Survey and Study:   Some method...

Methods of Survey and Study:   Some methods of collecting information about the organisation and about the information requirement of potential users are mentioned below. No si

Linear programming, Solve the following Linear Programming Problem using Si...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

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

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

A paper mill produces, . A paper mill produces two grades of paper viz., X ...

. 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

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