The map shown represents a network of five oneway streets. and we want to analyze the tr...

The map shown represents a network of five oneway streets. and we want to analyze the traffic flow within the network bounded by the intersections A, B, C, D, E, and F. The numbers shown indicate the number of vehicles per hour that enter or leave that intersection on the indicated street.

(a) Write a system of equations that represents the traffic flow in each of the six blocks within the network.

(b) Solve the system.

(c) The street department needs to make repairs on 10th St. between Colcord and Blair, so they want the minimum traffic flow. Find the minimum traffic flow for that block and the traffic flow in the other six blocks as a result of cutting back traffic on that block.