Problem 1. (30 points) At a stop-controlled intersection, traffic on the minor road awaits gaps to turn right onto the major road (shown in the figure). a) (15 points) If the major road has the following flow-density relationship: q = 60k -0.273k² Determine the capacity (qmax) AND the speed at capacity. Major road Minor road STOP b) (15 points) If vehicle arrivals follow a Poisson process on the major road, with an average arrival rate of 600 veh/h, how many vehicles (from the minor road) can merge onto the major road in an hour? Use a critical gap of 4 seconds, and assume only one car can merge in any gap.