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

Distribution methods, 1: explain vogel''s approximation method? 2: explain ...

1: explain vogel''s approximation method? 2: explain optimality test?

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

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 in

Simplex method LPP, #questioA paper mill produces two grades of paper viz.,...

#questioA 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

Network problem, Consider the following network where the value on each arc...

Consider the following network where the value on each arc represents the capacity of that arc. Use the augmenting path algorithm to find the value of the maximum flow from node 1

Census method, Census Methods Complete Enumeration: If detail informat...

Census Methods Complete Enumeration: If detail information regarding every individual person or item of a given universe ( or population ) is collected then the enquir

Sequential sampling -sampling decisons, Sequential Samplin The previou...

Sequential Samplin The previous has shown that the sampling units were drawn prior to the drawing of the actual sample and has a fixed size. But the sequential sa

Lcm, one example

one example

Assignment problems, a practical example

a practical example

Steps involved in hypothesis testing of the mean , Statement of Hypothesis...

Statement of Hypothesis The two hypothesis i ,e, null hypothesis (H 0 ) and Alternative Hypothesis (H 1 ) are so constructed that if one is correct the other is wron

Least cost method of transportation model, how do you calculate using this ...

how do you calculate using this method where the least cost appears twice

Write Your Message!

Name

Email id

Message

Verfication Code

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!

Submit Assignment

User Account

All Pages