The downtown core of Gotham City consists ofone-way streets, and the traffic flow has

Chapter 2, Problem 2.4.16

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The downtown core of Gotham City consists ofone-way streets, and the traffic flow has beenmeasured at each intersection. For the city blockshown in Figure 2.19, the numbers represent theaverage numbers of vehicles per minute entering andleaving intersections A, B, C, and D during businesshours.(a) Set up and solve a system of linear equations to findthe possible flows f1, . . . , f4.(b) If traffic is regulated on CD so that f4 10 vehiclesper minute, what will the average flows on the otherstreets be?(c) What are the minimum and maximum possibleflows on each street?(d) How would the solution change if all of the directionswere reversed?

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