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

Methods of calculation of standard deviation , Methods  of calculation of ...

Methods  of calculation of standard deviation a. Calculation of Standard  Deviation  - Individual Series: There  are two methods of calculating standard  deviation in an ind

Assignments, A paper mill produces two grades of paper viz., X and Y. Becau...

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

Important of demand forecasting, 1. Determination to enter a new territori...

1. Determination to enter a new territories. 2. To decide to enter a new market or not. 3. To determine how much production capacity to be builds up. 4. Helpful in

Linear programming simplex method, How to solve linear programming problems...

How to solve linear programming problems using simplex method introducing slack variable,surplus variable and artificial variable

Scope, Scope of operations research

Scope of operations research

Answer, explain operation research with example.and also discuss the scope ...

explain operation research with example.and also discuss the scope of OR in modern management.

Application of the chi square test - hypothesis testing, Application of the...

Application of the chi Square Test   The  chi square distribution  has a number of applications are given  below: a.Chi Square test of goodness of fit. b.Chi square te

Disadvantage of standard deviation - measure of dispersion, Disadvantage ...

Disadvantage  of standard Deviation It is not  easy  to understand  and calculate. It gives  more  weight  to the extremes  and less  to the items   nearer to mean. Since

Frequency distribution graphs, Frequency  Distribution Graphs Freq...

Frequency  Distribution Graphs Frequency distribution graphs may be histogram frequency  polygon  frequency  curve  ogive curve.   1. Histogram The histogram is draw  f

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