GameStop is a popular video game stores in LA always offering newly released video games. The store has on average 20 customers arriving every hour, with a standard deviation of interarrival times of 2 minutes. There is one line for checkout and it is currently operated by two employees. Each employee spends on average 4.5 minutes to checkout a customer. The checkout times follow an exponential distribution. (If necessary, please round to two decimal places.)

a. Assume that every customer coming to the store rents at least a video game and so has to go through the checkout. Please fil out the following.

Average interarrival time (in minutes): a =

CVa=

Average processing time (in minutes) p =

CVp =

Number of servers, m =

Utilization of servers, u =

On average, a customer has to wait. ____. minutes in line before getting served by the checkout employees.

On average, there are in total. _____. customers who are at the check out desk, either waiting or currently being served

b. If there are no customers requiring checkout, the employees are sorting returned videos, which there are always plenty of them. Suppose that on average it takes 5 mins to sort a single video (record that it has been returned and place it in its position). How many videos can the two employees sort over a 12-hour shift?

c. As a special service, the store offers free snacks for customers waiting in the checkout line (the customers who are currently served by the checkout employees are already busy with payment so they do not get free snacks.) The store manager estimates that every minute of customer waiting time costs the store 75 cents because of the free snack service. What is the hourly cost for the store due to this service?

d. The store manager is thinking about hiring an additional employee. Assuming that waiting time costs the store 75 cents because of the free