Answered step by step
Verified Expert Solution
Question
1 Approved Answer
The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one
The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can
stop for gas and servicing.
The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing
simultaneously. Assume that the arrival rate is boats per hour and that the service rate for each server is boats per hour. Round your answers to four
decimal places.
a What is the probability that the boat dock will be idle?
b What is the average number of boats that will be waiting for service?
c What is the average time in hours a boat will spend waiting for service?
h
d What is the average time in hours a boat will spend at the dock?
e If customers expect to be able to be in and out of the marina within minutes on average, does this system provide acceptable service?
since the average time a boat will spend at the dock is
minutes.
f The manager of Fore and Aft Marina is interested in balancing good customer service with the cost of providing this service. To achieve this, the manager
would like the customer's average time in the system to be as close to minutes as possible, but not exceeding minutes. Is enlarging the capacity of
the dock to handle two boats at a time a good way of achieving this?
Both channels will be empty approximately
of the time, and when customers do show up they
likely to have to wait for
minutes. On the whole, the expansion Select be best way of achieving their goal.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started