Question 4 a) Identify and briefly explain three (3) major applications of queuing models. [6 marks] b) Identify and briefly explain three (3) advantages of simulation systems compared to queuing models. [6 marks] c) Identify three (3) major simulation software programs that are currently being used in the manufacturing and service industry. [3 marks] d) John Thomas operates a restaurant in a small town in Barbados, on a typical Monday afternoon, an average of 30 customers per hour arrive at the restaurant to purchase lunch. There is one single cashier at the bank and the average time require to serve a regular lunch is 7.5 minutes. It is assumed that service times can be describe by the exponential distribution. Although this is the only restaurant in town, some people in the town have begun travelling at the nearby town located approximately 10 kilometres from John's restaurant. A single line could be used, and the customer at the front of the line would go to the first available bank teller. If a single line is used determine the: i. average time in the line, W. ii. average number in the line, L. [3 marks] iii. average number in the queue, Lq. [3 marks] [4 marks]