Problems based on lpp when feasible region is unbounded, Operation Research

Assignment Help:

Problems based on LPP when feasible region is unbounded.  

1.    Minimize z = 3x + 5y subject to constraints 

X + y ≥ 2

X + 3y ≥ 3

X, y ≥ 0

script

solution

 

1.    Let z = 3x + 5y

2.   Let us Draw the line x + y = 6 and x + 3y = 3 using suitable points on the graph.

 

3.These lines intersect at

4. Now shade the region of intersection of these lines

5.Vertices of shaded feasible region are

Now,

 

At C(3,0)

At P(3\2,1\2)

At B(0,2)

 

Therefore at P(3\2,1\2), z=3x+5y is minimum

 

 

 

 

 

 

 

 

P(3\2,1\2)

 

 

(3,0)  P(3\2,1\2)  and B(0,2)

 

 

Z= 3x + 5y

Z= 9

Z= 7

Z= 10


Related Discussions:- Problems based on lpp when feasible region is unbounded

Table of contents - report writing presentation, Table of contents ...

Table of contents The tables  of contents  is an outline  of the order  of the chapters sections and  sub  section  with their  respective  pages. If  report  includes  a n

#title scope.., scope of the operation research in modern management?

scope of the operation research in modern management?

Testing operation research model, After testing the model and its solutio...

After testing the model and its solution the next step of the study is to establish control over the solution by proper feedback of the information on variables which deviated

Theoretical framework, Ask questiAvatars are virtual characters that can be...

Ask questiAvatars are virtual characters that can be used as representatives of a company that is using the Internet as a distribution channel. For instance, avatars can be used as

Method of concurrent deviations, Method of Concurrent Deviations The  ...

Method of Concurrent Deviations The  coefficient  of concurrent  deviation or coefficient  of correlation  b the concurrent deviation  methods  is given  by the formula. R

Operation research, 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

Service distribution of the machines in a bank, ABC Bank faces a decision t...

ABC Bank faces a decision to hire two clerks or lease two automatic teller machines. Service rates of clerk 1 and clerk 2 are 41 customers per hour and 36 customers per hour respec

Linear pograming, application area of linear programing problem

application area of linear programing problem

Decision making - operation research, Decision making is not only the h...

Decision making is not only the headache of management rather all of us make decisions. We daily decide about minor issues. The essential characteristics of all decisions

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