Consider a road network that connects nodes a, b and c. The functions of link travel time t (in minutes) in relation to link traffic flow x (in vehicles per fixed time period), as well as the travel demand (in vehicles) between origin node a and destination node c, are given. The value of time is given as 5 euro per hour.

1. What should be the toll rate (in euro per vehicle) at link 3 (connecting node a with node c) so that the toll revenues R (in euro) are maximised at equilibrium conditions?

Please state clearly the assumptions made and possible limitations associated with them. b tz(x1) = 30+ *1 = X2 t2(x2) = 30+ 2 2 link 1 link 2 9a = 100 veh 9. = 100 veh link 3 t3(x3) = 60+ *3 3 Please state clearly the assumptions made and possible limitations associated with them. b tz(x1) = 30+ *1 = X2 t2(x2) = 30+ 2 2 link 1 link 2 9a = 100 veh 9. = 100 veh link 3 t3(x3) = 60+ *3 3