(22 marks) A local brewery is preparing for the release of a new beer. In anticipation of the demand they need to determine how many clerks to work the day of the release. From previous experience when they have released new products, an average of 6o customers per hour arrive at the store and wait in a single line for the first available clerk. Average time to serve a customer is four minutes. a) (2 marks) What is the Arrival Rate: The Service Rate? Arrival Rote:2= 60lhr Service Rate: M- 6014 - 15 Ihr 1. b) (11 marks) If there are 5 clerks working, calculate the following indicators: M-5 How many people on average are waiting to be served? GO from table m = 4 19-a.ang customer waiting 15 ii. How many people on average would be in the store (including those being served)? Ls = Lg+r= 2.216+4 = 6216 of people in store ii. What is the average wait time in minutes) of all customers? wa = La = 2.216 -0.037 hours GO X60 - 2.216 minutes iv. wa = 1 of customers who have to wait, what is the average wait time in minutes)? 1 1 0.067 hours MM-2 5(15)-2015 5115) ) -4 160 = 4 minutes V. What is the probability (as a percentage) of no customers having to wait? from table : Po = .013 = 1.3% % vi. What is the probability (as a percentage) of a customer having to wait? Pw= Wq wa 0.067 0.037 = 0.552 = 55.27