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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 pm, 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) %23 150 220 B 70 180 A X4 185 C D 130 115 400 a) Write the system of linear equation for each of the intersection. b) Use Gauss-Jordan elimination to solve the system. c) Which intersection shows the greatest flow? How can we reduce the flow at the intersection?

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 pm, 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) %23 150 220 B 70 180 A X4 185 C D 130 115 400 a) Write the system of linear equation for each of the intersection. b) Use Gauss-Jordan elimination to solve the system. c) Which intersection shows the greatest flow? How can we reduce the flow at the intersection?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 81E
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Traffic Network Consider the traffic flow described by the following diagram. The letters Athrough 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 pm, 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) %23 150 220 B 70 180 X1 A X4 185 C D 130 115 400 a) Write the system of linear equation for each of the intersection. b) Use Gauss-Jordan elimination to solve the system. c) Which intersection shows the greatest flow? How can we reduce the flow at the intersection?
Transcribed Image Text:Traffic Network Consider the traffic flow described by the following diagram. The letters Athrough 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 pm, 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) %23 150 220 B 70 180 X1 A X4 185 C D 130 115 400 a) Write the system of linear equation for each of the intersection. b) Use Gauss-Jordan elimination to solve the system. c) Which intersection shows the greatest flow? How can we reduce the flow at the intersection?
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