Question 1. The Undergraduate Advising office in a small university has one advisor who works eight hours a day. Throughout the day students arrive at an average of one every 12 minutes. and their requests take on average "3.5 minutes to process. Assume that the conditions for the Model A waiting line hold. [2] What percentage of the time is the advisor idle? [2] How much time. on average. does a student spend waiting in line? [2] How mu ch time, on average, does the student spend in the system {that is, waiting and being serviced)? [2] What is the average number of students waiting in line? [2] Find the probability that there are exactly 3 students in the system {that is, waiting and being serviced) [3] Find the probability that there are more than 3 students waiting in line. Question 2. The Cove is a midsized furniture store] Sales staff are scheduled in such a way that the same number are working at any given time. taking carefully coordinated rotating breaks. The number of customers arriving per hour on Saturdays, the busiest day of the week, averages 30. Poisson distributed. A salesperson can deal with one customer in 5. minutes on average and costs the company $40 per hour in salaries and fringe benefits. Service times closely follow an exponential distribution. The manager is reviewing the number of salespersons to schedule for each shift. The cost of customers waiting before they receive service has been estimated at $2 per minute in terms of lost sales and loss of goodwill. (This problem requires you to analyze multiseiver queuing models. You can use Q_calc for this purpose.) a. [6] If management wants to minimize the cost of both sales staff and customer wait times, how many salespersons should be working at any time? b. [4] What is the cost per hour to the company if they use the number of salespersons you computed in part a]