Question 3: Traffic Assignment (15 points)

There are three paths between an origin and destination, each composed of a single link. The link performance functions are given by:

            t_A=10.0+0.4V_A 

            t_B=5.0+0.2V_B

            t_C=4.0+0.4V_C

Where is the travel time given in minutes, and is the flow given in thousands of vehicles per hour on a link . There are 4000 vehicles per hour traveling between the origin and destination. Assuming user equilibrium, determine the flow on each path and the travel time (Provide 2dp).

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