Lanang Cafe has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The cafe has determined during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. (Answer for d and e) a) What is the system utilization rate for the cafe? b) Probability that café will be busy when a customer request. c) The average number of customers waiting in line. d) The average time customers wait for a coffee. e) What are the customers average waiting time on arrival?

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Lanang Cafe has a barista vending machine that takes a constant 48 seconds serving per cup of coffee.

The cafe has determined during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. (Answer for d and e)

a) What is the system utilization rate for the cafe?

b) Probability that café will be busy when a customer request.

c) The average number of customers waiting in line.

d) The average time customers wait for a coffee.

e) What are the customers average waiting time on arrival?

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