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

Investigate and examine aspects of planning structure, You are required to ...

You are required to investigate and examine aspects of planning and organisational structure for a 'real-life' organisation. This assessment enables you to relate the theories and

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

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

Secondary periodicals - classification of documents, Secondary Periodicals:...

Secondary Periodicals: Secondary Periodicals Secondary periodicals are abstracting and indexing periodicals. They are also called documentation periodicals. They are a syst

Model building, Model building is the essence of the operations research ap...

Model building is the essence of the operations research approach? Discuss. question #Minimum 100 words accepted#

Action phase - phase of operation research, The action phase consists of ...

The action phase consists of making recommendations for remedial action to those who first posed the problem and who control the operations directly. These recommendatio

Sequencing, how the sequencing techniques help the manager

how the sequencing techniques help the manager

Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X1+ X2 2 X1, X2 0on..

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

. 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

Two handed process chart of signing a latter, Two Handed process Chart of S...

Two Handed process Chart of Signing a Latter A multiple activity chart records the related sequence of activities of more than one subject, men and / or machine o

Histogram and historigram, #qudistinguish between histogram and historigram...

#qudistinguish between histogram and historigram estion..

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages