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

M/M/s queue, How do I use C# to program an M/M/s queue model?

How do I use C# to program an M/M/s queue model?

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

Construction of a mathematical model, The 2 nd phase of operations Resear...

The 2 nd phase of operations Research is to construct a mathematical model representing the system under study. It requires the identification of both static and dynam

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

Short question, write down any two assumption of L.P

write down any two assumption of L.P

One sample tests- hypothesis testing , One Sample Tests The one sample...

One Sample Tests The one sample test is  applied  to a situation where  only a single sample ( one  sample) is taken from  a population in this test the researcher may  be tak

Cpm/pert, how to make an attractive assignment

how to make an attractive assignment

Preparation of visual aids , Preparation of visual Aids ,Handouts and Feedb...

Preparation of visual Aids ,Handouts and Feedback Forms It is   always  better to prepare  visual  aids much  in advance of the presentation. Leaving  them for the  last mo

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