The Club offers two types of service for lunch: a la carte (from the menu), and
ID: 333116 • Letter: T
Question
The Club offers two types of service for lunch: a la carte (from the menu), and buffet. See diagram below for times at each step Customers arrive in groups of an average size of 4 (and each group occupies one table) The Club is big enough to accommodate all customers at any time and there is no waiting for tables. However, during lunch time (11am-2pm), on average, there are 4 customers waiting for the receptionist On average, 240 customers visit the Club during lunch time each day, 40% of them choose buffet. Suppose all customers in one group have the same preference of service (i.e., either a la carte, or buffet) Wait for Wait for food A la Carte (choose and order from the menu) Eat and pay 25 min 2. 5 min 12. 5 min l min Buffet 30 min 4 customers You and your friends intend to choose buffet. What is the average waiting time before the reception? On average, how many customers dining ala carte are in the University Club during lunch time (excluding those at the reception area and waiting for receptionist)? a. b.Explanation / Answer
We know that there are total 240 customers during lunch time.
Among 20 customers, 40% of them are choosing buffet. Hence 96 customers are choosing buffet.
Hence 60% of 240 customers i.e., 144 are choosing A-La-Carte.
We also know that four customers choose to sit on one table. So there are 24 (96/4) tables that are being occuoied by customers having buffet. Whereas,36(144/4) are being occupied by customers having A-La-Carte.
Now, If we count all the minutes it takes to serve a group of 4 customers, choosing buffet. It takes exactly 31 minutes to eat, pay and leave.
a )Hence the average waiting time would be 31/24 customers = 1.29 minutes.
b) On average, the customers present at the alacarte area in tthe club are 144.