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

Describe the service tax law in usa and concept of negative, Question 1 ...

Question 1 X Ltd. has Unit C which is not functioning satisfactorily. The following are the details of its fixed assets: Asset Date of acquisiti

General rules, General Rules a. Attractive Shapes The tables should ...

General Rules a. Attractive Shapes The tables should be neat and attractive. The size of table should be neither too big nor small. b. Simplicity A table should b

Examine the future sustainability of business, In your role as a Consultant...

In your role as a Consultant to a renowned organisation or institution, you have been asked to design and submit a research proposal to examine the future sustainability of its bus

Llp, Solve the following Linear Programming Problem using Simple method. Ma...

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

SIGNIFICANCE OF OPERATION RESEARCH, WHAT ARE THE SIGNIFICANCE OF OPERATION ...

WHAT ARE THE SIGNIFICANCE OF OPERATION RESEARCH

Linear Programing, A paper mill produces two grades of paper viz., X and Y....

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

Methods of calculation of standard deviation , Methods of calculation of ...

Methods of calculation of standard deviation a. Calculation of Standard Deviation - Individual Series: There are two methods of calculating standard deviation in an ind

Describe operation research, Describe Operation Research and discuss its ap...

Describe Operation Research and discuss its applications in various organizations. A company assembles heavy duty refrigerators and uses two types of compressors A & B. Two comp

Simplex method of LP, MAX: 150 X1 + 250 X2 Subject to: 2 X1 + 5 X2 = 200 - ...

MAX: 150 X1 + 250 X2 Subject to: 2 X1 + 5 X2 = 200 - resource 1 3 X1 + 7 X2 = 175 - resource 2 X1, X2 = 0 2. How many units of resource 1 are cons

Linear programming, maximize z=3x1+2*2 subject to the constraints x1+x2=4 x...

maximize z=3x1+2*2 subject to the constraints x1+x2=4 x1-x2=2 x1.x2=0

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages