5. The Swanky 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 manager then sends 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. If the customer orders a beverage, the room service manager sends the order to the bar at the same time the order is sent to the kitchen. It takes 3 minutes for a bartender to fill the order, and 80 percent of the orders require a beverage. 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. 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? d. Assume the following pay rates for the employees. Waiters are paid $9 per hour (not including tips), cooks are paid $15 per hour, the bartender is paid $10 per hour, and the room service manager is paid $18 per hour. Also, assume that 60 percent overhead is added to direct labor and that the cost of food and beverages averages $6 per order. Cut wood Make legs Make tops Finish furniture What is the average cost of an order when operating at 10 orders per hour? • What is the minimum cost per order that the system can achieve? e. What assumptions have you made in these calculations that may not be reasonable? Assemble and ship

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 30P
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5. The Swanky 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 manager then sends 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. If the customer orders a beverage, the room
service manager sends the order to the bar at the same time the order is sent to the kitchen. It takes 3 minutes for a bartender to fill the
order, and 80 percent of the orders require a beverage. 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.
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?
d. Assume the following pay rates for the employees. Waiters are paid $9 per hour (not including tips), cooks are paid $15 per hour, the
bartender is paid $10 per hour, and the room service manager is paid $18 per hour. Also, assume that 60 percent overhead is added
to direct labor and that the cost of food and beverages averages $6 per order.
Cut wood
Make legs
Make tops
Finish
furniture
• What is the average cost of an order when operating at 10 orders per hour?
• What is the minimum cost per order that the system can achieve?
e. What assumptions have you made in these calculations that may not be reasonable?
Assemble
and ship
→
Transcribed Image Text:5. The Swanky 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 manager then sends 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. If the customer orders a beverage, the room service manager sends the order to the bar at the same time the order is sent to the kitchen. It takes 3 minutes for a bartender to fill the order, and 80 percent of the orders require a beverage. 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. 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? d. Assume the following pay rates for the employees. Waiters are paid $9 per hour (not including tips), cooks are paid $15 per hour, the bartender is paid $10 per hour, and the room service manager is paid $18 per hour. Also, assume that 60 percent overhead is added to direct labor and that the cost of food and beverages averages $6 per order. Cut wood Make legs Make tops Finish furniture • What is the average cost of an order when operating at 10 orders per hour? • What is the minimum cost per order that the system can achieve? e. What assumptions have you made in these calculations that may not be reasonable? Assemble and ship →
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