Answer 16 t service Would two technical consul Would two se

Answer # 16!

t service? Would two technical consul. Would two seconu rect gate the effect of using a n 35% of all customers e customer waiting time of two minutes would the additional consultant have on customer service? uidelines with no more than 35% of all custo tants enable Ocala to meet its service g having to wait for technical support and an average customer waiting time of or less? Discuss. The new Fore and Aft Marina is to be located on the Ohio River near Madison Assume that Fore and Aft decides to build a docking facility where one boa can stop for gas and servicing. Assume that arrivals follow a Poisson probabili tion, with an arrival rate of 5 boats per hour, and that service times follow probability distribution, with a service rate of 10 boats per hour. Answer the questions a. What is the probability that no boats are in the system? b. What is the average number of boats that will be waiting for service? r Madison, Indiana. Indiana. ne boat at a time oisson probability distribu- es follow an exponential 16. following c. d. e. 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 ser- vice level your system will be providing? Why or why not? The manager of the Fore and Aft Marina in Problem 16 wants to investigate the possibil- ity of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 5 hoats ner h 17.

Solution

a.) P(no boats) = P(0) = e^(-lambda) = e^(-5) = 0.006738

b.) 5/10 = 0.5

c.) 10 boats per hour = 60 min/10 boats = 6 min/1 boat = 6 min

d.) 5 boats per hour = 60 min/5 boats = 12 min/1 boat = 12 min

e.) Yes, I would be satisfied , because probability of no boats at the marina is 0.006 which is less than 0.01