You are managing a restaurant. You do not accept reservations, and so all tables are walk-in....

 

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You are managing a restaurant. You do not accept reservations, and so all tables are walk-in. Customers that arrive and request a table are divided as follows: 50% require a table for 2, 40% require a table for 4, and 10% require a table for 6. The waiting time for a table for 2 is on average 10 minutes, the waiting time for a table for 4 is on average 30 minutes, and the waiting time for a table for 6 is on average 40 minutes. The number of parties waiting for a table for 2 is on average 2. a. What is the hourly arrival rate of customers requesting tables (of any size) per hour into your restaurant? b. What is the average number of parties waiting for a table for 4? Suppose that after a table is seated, regardless of the number of customers seated at the table, 1/3 of the tables order from the prix fixe menu and 2/3 of the tables order from the a la carte menu. Suppose also that there are on average 15 tables ordering from the prix fixe menu and 10 tables ordering from the a la carte menu. Assume that the rate at which customers are seated is 30 tables per hour. (This may or may not be consistent with your answer in part 1 above.). Use this additional information to answer parts c and d below. c. How long on average does a table ordering from the prix fixe menu occupy the table? d. Suppose that the percentage of tables that order from the prix fixe menu increases (so that it is now greater than 1/3), but that the rate at which customers arrive remains 30 tables per hour. What will happen to the average number of occupied tables: will it be more than 10+15-25 tables or less, and why? You are managing a restaurant. You do not accept reservations, and so all tables are walk-in. Customers that arrive and request a table are divided as follows: 50% require a table for 2, 40% require a table for 4, and 10% require a table for 6. The waiting time for a table for 2 is on average 10 minutes, the waiting time for a table for 4 is on average 30 minutes, and the waiting time for a table for 6 is on average 40 minutes. The number of parties waiting for a table for 2 is on average 2. a. What is the hourly arrival rate of customers requesting tables (of any size) per hour into your restaurant? b. What is the average number of parties waiting for a table for 4? Suppose that after a table is seated, regardless of the number of customers seated at the table, 1/3 of the tables order from the prix fixe menu and 2/3 of the tables order from the a la carte menu. Suppose also that there are on average 15 tables ordering from the prix fixe menu and 10 tables ordering from the a la carte menu. Assume that the rate at which customers are seated is 30 tables per hour. (This may or may not be consistent with your answer in part 1 above.). Use this additional information to answer parts c and d below. c. How long on average does a table ordering from the prix fixe menu occupy the table? d. Suppose that the percentage of tables that order from the prix fixe menu increases (so that it is now greater than 1/3), but that the rate at which customers arrive remains 30 tables per hour. What will happen to the average number of occupied tables: will it be more than 10+15-25 tables or less, and why?

Answer rating: 100% (QA)

a To find the hourly arrival rate of customers requesting tables of any size we need to consider the ... View the full answer