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

Waiting queques, During busy times, 60 potential customers per hour arrive ...

During busy times, 60 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 5 minutes, on average, to meet the information needs of

Investigate the link between engine wear and mileage, The Association of Ma...

The Association of Malawi Mechanics has commissioned a study to investigate the link between engine wear and mileage. The main focus of the study is to determine whether the mileag

Liner, b. A paper mill produces two grades of paper viz., X and Y. Because ...

b. 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

process technolgy, 1 strategic implication of product and process decision...

1 strategic implication of product and process decisions 2 process planning and design 3 work measurement

Evaluate a product from the view point of quality, This assignment requires...

This assignment requires you to evaluate a product from the view point of quality, both quality of design (as perceived by the user) and quality of conformance. To ensure that we a

Presentation - report writing presentation , Presentation After the c...

Presentation After the completion of any research project the concept techniques and results of the research projects should be presented to the audience of interes

Assignment problems, a practical example

a practical example

Verification of hypothesis, Analysis of Available Information and Verific...

Analysis of Available Information and Verification of Hypothesis: most of the time that a scientist spends in training is devoted to learning how to analyze and int

Research methodology, The influence of daily life of keeping dogs Part ...

The influence of daily life of keeping dogs Part a) Qualitative data analysis: These activities are aimed at developing skills in basic qualitative data analysis Inte

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

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages