TreecaffeLeone IV is a local breakfast restaurant chain located in Rome. (TcL). The TcL branch of the restaurant operates 7 days a week and serves breakfast 24 hours a day. On average, in one hour 12 customers arrive to the TcL branch of the restaurant and the coefficient of variation for the arrivals is 2. There is no indication of a systematic arrival pattern over the course of a day. Name: Shres Once a customer is seated it takes on average 36 minutes for him/her to have breakfast (including waiting for the order, having the breakfast, and paying the bill) with a standard deviation of 20 minutes. Cleaning for the tables is negligible and currently, the restaurant has 8 tables. Assume that, for ease of analysis, each table accommodates a single customer and, if all the tables are full, the customers are willing to wait until there is a table available. 

a) What is the average number of customers waiting to be seated? 

b) What is the total number of customers in the restaurant including the waiting cus 

c) What is the average number of idle tables?

d) How would the queu lenfth ( number of customers waiting) change if the number of arrivals per unit of time doubles while the coefficient of variation for the arrivals remains the same? 

e) Suppose that the restaurant wants to achieve an average waiting time of 5 minutes or less. At least, how many additional tables are needed to achieve this target