ti. The big question is to determine how changes in value of time affect equilibrium trip cost and travel times. The questions below will work you through determining this. Every morning LEE!) commuters must travel from Coronado island to downtown San Diego. The only soUrCe of congestion on their route is due to the bridge they must cross, which has a maximum throughput of 200 vehicles per hour. The corru'nuters dislike three things: travel time, arriving early or late, and paying a toll. Commuters value reductions in travel time at 1B dollars per hour, value reductions in time early to work at 5 dollars per hour, and value reductions in time late to work at 15 dollars per hour, and want to arrive at Still}. If t,I is their arrival time, T[t,,} is the travel time experience by someone who arrives at in, and T(t,,]l is the toll someone pays if they arrive at t,,, then we can write a commuter's trip cost as 5 faith rt 15 i,ss+ l\") p(t,,} : it] - Ton) + [9 ta} { For simplicity, let's assume that in the absence of trafc congestion, travel time is zero; that is, when we discuss travel time it will only be the additional travel time due to congestion. Furthermore, no toll will be charged as the road is free. TIP: For this question you always have specic numbers, but you can avoid needing to solve most things twice [once for each given value of time} if you solve using a variable, a, for value of time, and then just plug in for the given value of a: when you need exact answers. (a) (E points]I How long does rush hour need to be in order for everyone to be able to travel to work