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

Determine the optimal assignment, Six Operators are to be assigned to five ...

Six 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 assignment

Rules regarding the table structure, Rules  Regarding the Table  Structur...

Rules  Regarding the Table  Structure a. Table Number: When a number  of tables  are constructed serial number of the tables  should  be given  to each table. b. Title Th

Vam, how to solve it

how to solve it

Sample linear programming problems to calculate max profit, The following l...

The following linear programming is written to plan the production of two products. And the company wants to maximize profits. x1 = number of product 1 produced in each batch

A paper mill, A paper mill products two grade of paper viz., X & Y. Because...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Reports - classification of documents, Reports: Report literature is a...

Reports: Report literature is an important primary source of information, particularly  for a research library. This new  medium for communication of information came into bei

Least cost method of transportation model, how do you calculate using this ...

how do you calculate using this method where the least cost appears twice

Linear programming, Q3. Solve the following Linear Programming Problem usi...

Q3. 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

De, describe the similarities and differences of transportation and linear ...

describe the similarities and differences of transportation and linear programing methods

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