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

Tied ranks equal or repeated rank, Tied Ranks Equal or Repeated Rank W...

Tied Ranks Equal or Repeated Rank When two or more items have equal values it is difficult to give ranks to them. In that case the items are given the average of the

Linear programming, maximize z=3x1+2x2 subgect to the constraints x1+x2 x1-...

maximize z=3x1+2x2 subgect to the constraints x1+x2 x1-x2 x1,x2>_0

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

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X 1, X2 = 0

What do you mean by linear programming problem, Q1. a. What do you mean by ...

Q1. a. What do you mean by linear programming problem? Explain the steps involved in linear programming problem formulation? b. A paper mill produces two grades of paper viz., X

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

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

Basis of scientific methods, The scientific methods is based on certain...

The scientific methods is based on certain article of path these are: 1. Reliance on Evidence: Truth is established on the basis of evidence. Conclusion is admitted onl

Modi Method, a manufacture wants to ship 8 loads of his product as shown be...

a manufacture wants to ship 8 loads of his product as shown below. The matrix gives the mileage from origin to the destination D.

Li, line drawn as Y=C+1075x, when x was 2, and y was 239, given that y inte...

line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residualon..

ASSIGNMENT PROBLEM, . Explain in brief the phases of Operations Research. 5...

. Explain in brief the phases of Operations Research. 5 +5 = 10 marks (200 - 250 words each) Q3. Solve the following Linear Programming Problem using Simple method. Maximize Z= 3

Question, A paper mill produces two grades of paper viz., X & Y. Because of...

A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages