Jakes needs to decide where to get a haircut. He has narrowed the choice down to two local hair salons – Large Cuts (LC) and Small Cutters (SC).
A new customer walks into LC every 15 minutes on average, with a standard deviation of 15 minutes. At SC, a customer walks in every hour on average, with a standard deviation of 1 hour. LC has a staff of 4 barbers, while SC has 1 barber. The average service time at both salons is 30 minutes, with a standard deviation of 30 minutes.
LC will buy out SC. LC will then close SC’s operations and serve all customers, including existing SC customers, at the LC location only. Assuming that the previous traffic of SC customers now flows to the LC location, what is the new inter-arrival time (in minutes) at LC?