A hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders by phone at an average of 2 minutes per order. The manger then send the order to the kitchen, where it takes a cook an average of 16 minutes to prepare the food for each order. There are four cooks in the kitchen. The room service manager also sends the beverage included in the order to the bar at the same time the order is sent to the kitchen (that is, parallel processes). It takes 3 minutes for a bartender to fill the order. When the kitchen and bar orders are both ready. A waiter takes them to the room and bills the guest. There are six waiters to provide the service, and each order takes 20 minutes for the waiter to complete. Required:
a. What is the capacity of the process, and what is the bottleneck?
b. What is the throughput time of a typical order?
c. Assume that on Friday evenings an average of 10 room-service orders per hour are placed. How many orders are in the system on average on Friday nights?