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. (a) Set up a linear system whose solution provides the unknown flow rates. (b) Solve the system for the unknown flow rates. (c) Is it possible to close the road from A to B for construction and keep traffic flowing on the other streets? Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
(a) Set up a linear system whose solution provides the unknown flow rates.

(b) Solve the system for the unknown flow rates.
(c) Is it possible to close the road from A to B for construction
and keep traffic flowing on the other streets? Explain.

| 300
200
| 100
500
A
X1
В
X2
600
X3
X4
X5
400
450
X6
X7
| 350
T 600
| 400
Transcribed Image Text:| 300 200 | 100 500 A X1 В X2 600 X3 X4 X5 400 450 X6 X7 | 350 T 600 | 400
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