You own a carwash franchise and want to improve the business to make it more cost effective. Before you start you evaluated how it operates before any improvement project commences. Data you collected for the previous year yielded an arrival rate for dirty cars of 10 per hour. Your cleaning team produces clean cars at a rate of 1 every 5 minutes. One car at a time is cleaned and follows a single-channel waiting line. Assuming Poisson arrivals and exponential service times, you want to find the: a. Kendall notation for this problem? b. Average number of cars in line. c. Average time a car waits before it is washed. d. Average time a car spends in the service system. e. Utilization rate of the car wash. f. Probability that no cars are in the system (1) (3) 20000