Question

Altug's Coffee Shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing in line inside. Mehmet Altug charges $3.50 per cup. However, it takes too long for people to make change. The service time is a constant 4.00 minutes, and the arrival rate is 12 per hour (Poisson distributed).

a) The average wait time in the line ?

Answer 1

The average wait time in the line is 1 minute.

Step-by-step explanation:

To find the average wait time in the line, we need to calculate the average time between two successive arrivals.

The average arrival rate is 12 per hour, which means one customer arrives every 60/12 = 5 minutes on average.

Since the service time is a constant 4 minutes, the average wait time in the line would be 5 - 4 = 1 minute.