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# Visitors arrive at Kid’s World entertainment park according to an exponential interarrival time distribution with mean...

Visitors arrive at Kid’s World entertainment park according to an exponential interarrival time distribution with mean 2.5 minutes. The travel time from the entrance to the ticket window is normally distributed with a mean of 3 minutes and a standard deviation of 0.5 minute. At the ticket window, visitors wait in a single line until one of four cashiers is available to serve them. The time for the purchase of tickets is normally distributed with a mean of ﬁ ve minutes and a standard deviation of one minute. After purchasing tickets, the visitors go to their respective gates to enter the park. Create a simulation model of this system. Run the simulation model for 2,000 hours to determine:

a . The average and maximum lengths of the ticketing queue.

b . The average number of customers completing ticketing per hour.

c . The average and maximum numbers of customers in the ticketing system.

d . The average utilization of the cashiers.

e . Whether management should add more cashiers?

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