Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
The following picture represents a network of interconnected pipelines. The arrows rej measured by ft³ per minutes. The values above the arrows represent the flow in the

The following picture represents a network of interconnected pipelines. The arrows rej measured by ft³ per minutes. The values above the arrows represent the flow in the

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
100%

PLEASE answer question NUMBER 5 only, please be clear and thanks in advance for answering only number 5.

Suppose you will need to repair the pipe between connections A and B, you will want to have
the flow between A and B as minimal as possible. What is the minimal value of x6 to have a
feasible solution.

PLEASE answer question NUMBER 5 only, please be clear and thanks in advance for answering only number 5.

The following picture represents a network of interconnected pipelines. The arrows represent the flow measured by ft³ per minutes. The values above the arrows represent the flow in the given segment, the flow is regulated by the valves at the intersections. Of course the amount of water per minute entering each connection, has to be equal to the amount of water exiting the connection. This leads to five equations. 10 20 A 1. Write down the system of linear equations that represents the flow at each relevant valve. 2. Find the augmented matrix and its row reduced echelon form. 3. How many solutions are there? Notice that the valves allow only one direction for the flow. This means that we require each r; not to be negative. A solution with all positive r; is called feasible. 4. Express all the feasible solutions in terms of inequalities. 5. Suppose you will need to repair the pipe between connections A and B, you will want to have the flow between A and B as minimal as possible. What is the minimal value of æ, to have a feasible solution. 6. Using what you found in the previous answer write all the values of #;, for i = 1, ..., 6 and make sure they are a solution of your system. 7. What happens if you reverse the flow in the segment BD (by substituting the valve)? Find the minimal value of x6 that gives you a feasible solution.
Transcribed Image Text:The following picture represents a network of interconnected pipelines. The arrows represent the flow measured by ft³ per minutes. The values above the arrows represent the flow in the given segment, the flow is regulated by the valves at the intersections. Of course the amount of water per minute entering each connection, has to be equal to the amount of water exiting the connection. This leads to five equations. 10 20 A 1. Write down the system of linear equations that represents the flow at each relevant valve. 2. Find the augmented matrix and its row reduced echelon form. 3. How many solutions are there? Notice that the valves allow only one direction for the flow. This means that we require each r; not to be negative. A solution with all positive r; is called feasible. 4. Express all the feasible solutions in terms of inequalities. 5. Suppose you will need to repair the pipe between connections A and B, you will want to have the flow between A and B as minimal as possible. What is the minimal value of æ, to have a feasible solution. 6. Using what you found in the previous answer write all the values of #;, for i = 1, ..., 6 and make sure they are a solution of your system. 7. What happens if you reverse the flow in the segment BD (by substituting the valve)? Find the minimal value of x6 that gives you a feasible solution.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Fluid Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS