The manager of the Fore and Aft Marina in the previous problem 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 5 boats per hour and that the service rate for each server is 10 boats per hour. What is the probability that the boat dock will be idle? **I'm getting lost if I should calculate per server or for both servers** What is the average number of boats that will be waiting for service? What is the average time a boat will spend waiting for service? What is the average time a boat will spend at the dock? 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?

Answered: average number of boats that will be…

average number of boats that will be waiting for service? What is the average time a boat will spend waiting for service? What is the average

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

The manager of the Fore and Aft Marina in the previous problem 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 5 boats per hour and that the service rate for each server is 10 boats per hour.

What is the probability that the boat dock will be idle? **I'm getting lost if I should calculate per server or for both servers**
What is the average number of boats that will be waiting for service?
What is the average time a boat will spend waiting for service?
What is the average time a boat will spend at the dock?
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?

Expert Solution