Consider a child waiting at a street corner for a gap in traffic that is large enough so that he can safely cross the street. A mathematical model for traffic shows that if the expected waiting time for the child is to be at most 1 minute, then the maximum traffic flow, in cars per hour, is given by f(x) = = 29,140(2 339 - log x) -, where x is the width of the street in feet. Complete parts a. and b. below. X a. Find the maximum traffic flow and the rate of change of the maximum traffic flow with respect to street width for the street width of 31 feet. The maximum traffic flow is about vehicles per hour. (Do not round until the final answer. Then round to the nearest integer as needed.)