The accompanying figure shows a network of one way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per hour.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

Help me fast in all parts I will give good rating.

The accompanying figure shows a network of one way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per
hour.
325
600
250
150
450
150
150
(a) Set up a linear system whose solution provides the unknown flow rates.
X2
= 75
X2 + X3
= -450
X3 + X4 = 300
-X2
+ X4 = 75
X2 - X3
= 75
X3- X4 = -450
X1 - X2
- 300
-X1
+ X4 = 75
X1- X2
= 75
X2 + X3
= -450
X3 + X4 300
-X2
+ X4 = 75
X2 X3
= 300
X3 X4 -450
= 75
2x - 1x
+ X4 = 75
Transcribed Image Text:The accompanying figure shows a network of one way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per hour. 325 600 250 150 450 150 150 (a) Set up a linear system whose solution provides the unknown flow rates. X2 = 75 X2 + X3 = -450 X3 + X4 = 300 -X2 + X4 = 75 X2 - X3 = 75 X3- X4 = -450 X1 - X2 - 300 -X1 + X4 = 75 X1- X2 = 75 X2 + X3 = -450 X3 + X4 300 -X2 + X4 = 75 X2 X3 = 300 X3 X4 -450 = 75 2x - 1x + X4 = 75
(b) Solve the system for the unknown flow rates.
If the system has infirtely many solution, consider xs
X1
Xa
(c) if the flow along the road from A to B must be reduced for construction, what is the minimum flow that is required to keep traffic fiowing on all roads
The minimum required flow
vehicles per hoOur
Show Work is REQUIRED for this question: Ooen Show Work
Transcribed Image Text:(b) Solve the system for the unknown flow rates. If the system has infirtely many solution, consider xs X1 Xa (c) if the flow along the road from A to B must be reduced for construction, what is the minimum flow that is required to keep traffic fiowing on all roads The minimum required flow vehicles per hoOur Show Work is REQUIRED for this question: Ooen Show Work
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Indefinite Integral
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,