Intermediate: The figure below shows a network of one-way streets. The direction the traffic is flowing is indicated with the arrows and the values represent the average number of vehicles per hour entering or exiting the intersection. 350| 1400 300 550 150 B 200 250 600 a) Set up a system of linear equations that represents this scenario, with unknown flow rates as your variables. (write your system here) b) Solve the system from part a). (Write your solutions here - attach worl c) Suppose there needs to be construction on the road from A to B and traffic needs to be restricted. What is the minimum flow that is required to keep traffic flowing on all roads?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Intermediate: The figure below shows a network of one-way streets. The
direction the traffic is flowing is indicated with the arrows and the values
represent the average number of vehicles per hour entering or exiting the
intersection.
350
550
1400
300
150
B
200
250
600
a) Set up a system of linear equations that represents this scenario, with
unknown flow rates as your variables. (write your system here)
b) Solve the system from part a). (Write your solutions here - attach work)
c) Suppose there needs to be construction on the road from A to B and
traffic needs to be restricted. What is the minimum flow that is required
to keep traffic flowing on all roads?
Transcribed Image Text:3. Intermediate: The figure below shows a network of one-way streets. The direction the traffic is flowing is indicated with the arrows and the values represent the average number of vehicles per hour entering or exiting the intersection. 350 550 1400 300 150 B 200 250 600 a) Set up a system of linear equations that represents this scenario, with unknown flow rates as your variables. (write your system here) b) Solve the system from part a). (Write your solutions here - attach work) c) Suppose there needs to be construction on the road from A to B and traffic needs to be restricted. What is the minimum flow that is required to keep traffic flowing on all roads?
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