The function that relate the inverse of speed (1/S)

The function that relates the inverse of speed (1/S)(i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/5 = 2 + 0.05T. Demand for traffic (measure as traffic volume per minute) on this road is T=3.1@07@-(1/S). ac Find the equilibrium traffic volume in the absence ofany congestion toll. bc Find the marginal cost function for traffic volume, where cost is expressed as travel time per mile in minutes. c Find the optimal level of trafc volume. dc Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll consists of sitting in the "penalty box" for this period of time.)