Question: Problem #3 (Maximum Flow and Minimum Cut) [20 points] Suppose up to 400 cars per hour can travel between any two of the cities 1,2,3,

$Problem \#3 (Maximum Flow and Minimum Cut) [20$

Problem \#3 (Maximum Flow and Minimum Cut) [20 points] Suppose up to 400 cars per hour can travel between any two of the cities 1,2,3, and 4 . Set up a maximum flow problem that can be used to determine how many cars can be sent in the next two hours from city 1 to city 4. Meanwhile, use the Ford-Fulkerson algorithm to find the maximum flow and the corresponding minimum-cut. (Hint: Have portions of the network represent t=0,t=1, and t=2.)

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