Find the maximum and minimum values, Operation Research

Assignment Help:

Problems based on solution of a given LPP when it has multiple optimal solution:

1. Find the maximum and minimum values of 5x+2y, subject to the constraints

-2x-3y ≤ -6

x-2y ≤ 2

6x + 4y ≤ 24

-3x + 2y ≤ 3

X, y ≥ 0

script

solution

1. Let z is equal to

Let us draw the lines - 2x-3y = -6, X - 2y =2

6x+ 4y = 24

2. using suitable points on the graph.

3. Now shade the region of intersection of the 3 lines.

4. The shaded region ABCD represents the region of feasible region

5. The Vertices of feasible region are

6. Now let us find the maximum and minimum values by using these points

7. For the corner point A(18/7,2/7)

8. For the corner point B(7/2,3/4)

9. For the corner point C(3/2,15/4)

10. For the corner point D(3/13,24/13)

11. We find the maximum value occurs at vertex B, minimum value at vertex D

Maximum value

Minimum value

Z = 5x + 2y

2x + 3y = 6

X - 2y =2

6x+ 4y = 24

- 3x + 2y = 3

A ( 18\7,2\7) B(7\2,3\4) C(3\2,15\4) D(3\13,24\13)

5(18/7)+2(2/7)= 94/7

5(7/2)+2(3/4)=76/4

5(3/2)+2(15/4)=60/4

5(3/13)+2(24/13)=63/13

63\13

Related Discussions:- Find the maximum and minimum values

Introductoin operational research, disadvantages of modeling in operationa...

disadvantages of modeling in operational research

Support - report writing presentation , Support Supporting materials ...

Support Supporting materials is vital for making the presentation effective. It clarifies the speaker ideas makes the presentation more illuminating as well as intere

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

#qudistinguish between histogram and historigram estion..

Sequencing problem, if one no. is repeated 2-3 times in machine-1 and machi...

if one no. is repeated 2-3 times in machine-1 and machine-2 what is to be prefer first

What are the functions of a store manager, Question 1 Explain Pre-Store op...

Question 1 Explain Pre-Store opening activities and State at least 10 pre-store opening activities that should be ideally carried out in a retail store? Question 2 What ar

Operation research, A Company produces 150 cars. But the production rate va...

A Company produces 150 cars. But the production rate varies with the distribution. Production Rate Probability 147 0.05 148 0.10 149 0.15 150 0.20 151 0.30 152 0.15 153 0.05 At pre

Assignment, discuss Dr. Konigs assignment method

discuss Dr. Konigs assignment method

Linear Programming Problem, A paper mill produces two grades of paper viz.,...

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

Determine the required factors of production in a company, 1) Provide a de...

1) Provide a description of the required factors of production, grouping them according to whether the factors of production are a) Fixed and hence unlikely to vary much accord

Problem, 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

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages