Consider the traffic flow described by the following diagram. The letters A through D label intersections. The data was obtained by counting the number of vehicles that travelled around the four one-way streets between the hours of 6 am to 10 am, and 2 pm to 6 pm during the mid-week peak traffic hours. The arrows in the diagram indicate the direction of flow of traffic in and out of the network that is measured in terms of number of vehicles per hour (vph). 3a) Write the system of linear equations for each intersection. 3b) Use Gauss-Jordan elimination to solve the system.
Consider the traffic flow described by the following diagram. The letters A through D label intersections. The data was obtained by counting the number of vehicles that travelled around the four one-way streets between the hours of 6 am to 10 am, and 2 pm to 6 pm during the mid-week peak traffic hours. The arrows in the diagram indicate the direction of flow of traffic in and out of the network that is measured in terms of number of vehicles per hour (vph). 3a) Write the system of linear equations for each intersection. 3b) Use Gauss-Jordan elimination to solve the system.
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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Consider the traffic flow described by the following diagram.
The letters A through D label intersections. The data was obtained by counting the number of vehicles that travelled around the four one-way streets between the hours of 6 am to 10 am, and 2 pm to 6 pm during the mid-week peak traffic hours. The arrows in the diagram indicate the direction of flow of traffic in and out of the network that is measured in terms of number of vehicles per hour (vph).
3a) Write the system of linear equations for each intersection.
3b) Use Gauss-Jordan elimination to solve the system.
Transcribed Image Text:150
220
A
B 70
180
X1
X2
X4
185 С
D 130
115
400
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