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

Operation research, methodology of operation research

methodology of operation research

LInear Programming, - A paper mill produces two grades of paper viz., X an...

- 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 pape

Discuss the basic components of any queueing system, Question: (a) Disc...

Question: (a) Discuss briefly the four basic components of any queueing system. (b) Explain what you understand by the following models: (i) (M| M | 1 : N | FCFS) (ii

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

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

Expected value analysis, Profitable Casino Corp. (PCC) is a Harrah's wannab...

Profitable Casino Corp. (PCC) is a Harrah's wannabe, intent on mimicking Harrah's analytical marketing techniques. For example, PCC issues virtually all gamers a PCC "Rewards" car

Modi, history of modi

history of modi

Problems based on lpp when feasible region is a line segment, Problems base...

Problems based on LPP when feasible region is a line segment or it does not exist. 1. Maximize z = 2x+3y subject to the constraints X + y ≤ 1 X + y ≥ 3 X, y ≥ 0

Formulation of relevant hypotheses and models, Tentative explanations when ...

Tentative explanations when formulated as propositions are called hypotheses. It is very important to state the hypothesis and its anticipated consequences before star

OR, what is operation research an management decision making

what is operation research an management decision making

LPP, A paper mill prouduces two grads of paper viz., X and Y. Becouse of ra...

A paper mill prouduces two grads of paper viz., X and Y. Becouse of raw material restriction, it cannot product more then 400 tons of grade X paper and 300 tons of grade Y paper in

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages