Marina: Adding Dock Space. The manager of the Fore and Aft Marina in Problem $16$ 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 $10$ 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 $10$ 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 $10$ minutes as possible, but not exceeding $10$ 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?