Marina: Adding Dock Space. The manager of the Fore and Aft Marina in Problem

$1$

$6$

$$wants to investigate the possibility of enlarging the docking facility so that two boatcan stop for gas and servicing simultaneously. Assume that the arrival rate is

$5$

$$boats per hour and that the service rate for each server is

$1$

$0$

$$boats per hour. LO

$3$

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 a boat will spend waiting for service?d

$.$

What is the average time a boat will spend at the dock?e

$.$

If customers expect to be able to be in and out of the marina within

$1$

$0$

$$minutes on average, does this system provide acceptable service? 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

$1$

$0$

$$minutes as possible, but not exceeding

$1$

$0$

$$minutes$.$ Is enlarging the capacity of the dock to handle two boats at a time a good way of achieving this? If not, what would be a viable alternative?