7. Solve equations (12.1) through (12.14) and construct a figure like Figure 12.2 for the following numerical example: Vehicles approach at a uniform flow rate of 600 vehicles per hour. Vehicles are served during the green period (when queue is present) at a uniform flow rate of 1800 vehicles per hour. The queue discipline is a "first in, first out" (FIFO) system. The effective green time is 40 seconds while the cycle length is 60 sevonds. The equations (12.1) given: HT - where to = time duration of queue (seconds) u = mean service rate (vehicles per hour) 1 = mean arrival rate (vehicles per hour) r = effective red time (seconds) The equations (12.14) given: TD = N where TD = total delay in vehicle-seconds. d = average individual delay (seconds) N = number of vehicles per cycle Flow rate vehirl Red Green Red Red Green Green Time al Cumulative vehicles Arrivals Departure Time ibi Figure 122 Extension of Signalized Intersection Queueing Diagram