5. (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 60 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? b) (11 marks) If there are 5 clerks working, calculate the following indicators: i. How many people on average are waiting to be served? ii. How many people on average would be in the store (including those being served)? iii. What is the average wait time in minutes) of all customers? iv. Of customers who have to wait, what is the average wait time (in minutes)? v. What is the probability (as a percentage) of no customers having to wait? vi. What is the probability (as a percentage) of a custon stomer having to wait? c) (9 marks) Each clerk is paid $12/hour and each customer in the store 'costs' the brewery $8/hour. Use the table below to show the different values and costs needed to determine how many clerks should work that day to minimize the total cost to the brewery. State your recommended number of clerks