The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and...

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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 3 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places. Report time in hours.) (a) What is the probability that the boat dock will be idle? 0.7167 (b) What is the average number of boats that will be waiting for service? 0.0094 (c) What is the average time a boat will spend waiting for service? 0.0031 x h (d) What is the average time a boat will spend at the dock? 0.3489 x h (e) If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Why or why not? Both channels will be empty approximately 70 % of the time, and when customers do show up, they are not likely to have to wait for more than 5 minutes. On the whole, the expansion may not be worth the needed investment. 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 3 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places. Report time in hours.) (a) What is the probability that the boat dock will be idle? 0.7167 (b) What is the average number of boats that will be waiting for service? 0.0094 (c) What is the average time a boat will spend waiting for service? 0.0031 x h (d) What is the average time a boat will spend at the dock? 0.3489 x h (e) If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Why or why not? Both channels will be empty approximately 70 % of the time, and when customers do show up, they are not likely to have to wait for more than 5 minutes. On the whole, the expansion may not be worth the needed investment.