The Owner of an Amusement Park Has Decided to Open

Multiple Choice

The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park.Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service.The average service time of both employees is 2 minutes to provide service.The arrival rate follows Poisson distribution,and the service time follows a negative exponential distribution.It is estimated that the cost of customer waiting time associated with dissatisfied customers and loss of goodwill is $20 per hour.The employee at the service booth is paid $10 an hour.Determine the total expected cost per day for the waiting line system.Assume total hours of operation as 10 hours per day.

A) $226.67
B) $245.67
C) $216.67
D) $234.21