Atoll plaza is capable of serving cars at a constant rate µ vph. cars arrive at a constant rate λ1 < µ until some time t = 0 (e. g., 7: 00 am), but from t = 0 until some time τ , they arrive at λ2 > µ (where λ1 and λ2 are in units of vph). after time τ , the arrival rate returns to λ1. suppose that vehicles not served immediately form a queue and are served first-in-first-out (fifo). draw a queuing diagram starting at time t = 0. derive expressions for each of the following in terms of the variables given (λ1, λ2, µ, τ ): (a) maximum excess accumulation of vehicles(b) longest delay experienced by any car(c) duration of the queue(d) total delay to all cars while queue is present