Dear expert,

could you answer these questions and please give as much explanation as possible what calculations you use and why you use them. (Especially for the social optimum) Thank you!

Consider the following simple road network. There are 100cars that want to go from s to t. The travel time of the upper road is always 150 minutes. The travel time of the lower road is 2m+50 minutes if there are m cars on that road. (a) (3 points) Compute the social optimum for this road network and its social cost. (b) (3 points) Compute a Nash equilibrium for this road network and its social cost. (c) (3 points) What can you conclude for the price of anarchy for this network routing game