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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.

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 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
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