2. Waiting Line Problem - 10 pts. In the service department of the Wing Mart Auto Agency, mechanics requiring parts for auto repair or service present their request forms at the parts department counter. The parts clerk fills a request while the mechanic waits. Mechanics arrive in a random (Poisson) fashion at the rate of 40 per hour, and a clerk can fill requests at the rate of 20 per hour (exponential). The cost for a parts clerk is $40.00 per hour and the cost for a mechanic is $70.00 per hour. (Because of the high arrival rate, an infinite source may be assumed.) 1) ( 3 pts.) Please discuss whether one clerk is adequate in servicing the process. 2) (7 pts.) Determine the optimum number of clerks to staff the counter