The downtowm core of Gotham City consists of one-way streets, and the traf- fic flow has been measured at each intersection. For the city block shown in the figure, the numbers represent the average numbers of vehicles per minute entering and leaving intersections A, B, C, and D during business hours. 10| 201 fi, 10 B 15 D 1s1 10 1. Set up and solve a system of linear equations to find the possible flows f1, ... , f4. (Use the parameter t as necessary.) 2. If traffic is regulated on CD so that f4 = 10 vehicles per minute, what will the average flows on the other streets be? 3. What are the minimum and maximum possible flows on each street? (Use the solution of question 1)
The downtowm core of Gotham City consists of one-way streets, and the traf- fic flow has been measured at each intersection. For the city block shown in the figure, the numbers represent the average numbers of vehicles per minute entering and leaving intersections A, B, C, and D during business hours. 10| 201 fi, 10 B 15 D 1s1 10 1. Set up and solve a system of linear equations to find the possible flows f1, ... , f4. (Use the parameter t as necessary.) 2. If traffic is regulated on CD so that f4 = 10 vehicles per minute, what will the average flows on the other streets be? 3. What are the minimum and maximum possible flows on each street? (Use the solution of question 1)
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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Transcribed Image Text:The downtown core of Gotham City consists of one-way streets, and the traf-
fic flow has been measured at each intersection. For the city block shown in
the figure, the numbers represent the average numbers of vehicles per minute
entering and leaving intersections A, B, C, and D during business hours.
10
20
fi.
10
B
15
15
D
10
1. Set up and solve a system of linear equations to find the possible flows f1,
... , f4. (Use the parametert as necessary.)
2. If traffic is regulated on CD so that f4 = 10 vehicles per minute, what will
the average flows on the other streets be?
%3D
3. What are the minimum and maximum possible flows on each street? (Use
the solution of question 1)
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