Long Answer Questions (32 Points) 1. (Total 12 pts) A take away burger restaurant has just opened a new branch operating nearby campus downtown. The restaurant operates in line with the following flowchart: Enter Restaurant Queue 1 Place Order Request Order Change Collect Food Queue 2 Exit Restaurant Over the first two weeks in operation, the restaurant has remained open from 9am-5pm daily, and has seen a relatively consistent average of 80 customers per day. On average, the first queue has approximately 5 people. Since the menu and restaurant are relatively new, patrons will need to inquire about the various options available, and will typically spend approximately 5 minutes placing an order. Immediately after placing their order, customers will then join another queue to collect their food, which on average has 3 people in line. The average service time to collect food once someone arrives at the counter is 1.5 minutes. Since the restaurant and staff are new to the business, some customers (on average 15%) will need request a change to their order. This can be done at the station, and typically takes 20 minutes. There is no queue for this process. a) (3 points) How long does an average customer spend in the queue before they are able to order food? b) (3 points) On average, how many customers are placing their order at the counter? c) (3 points) On average, how many minutes does a customer stay in the food collection queue? d) (3 points) On average, how many customers are being served at the food collection counter?