Problem $3-10($Static$)$

Mike operates a halr$-$cutting salon that specializes in providing quick walk$-$In service for just about any type of halrcut. He deals with customers as they walk in the door. This includes writing down the customer's name and what they desire in terms of halrcut, wash, dry, and so on$.$ This process usually takes two minutes. If no halr styllst is avallable, the customer then goes to the walting area, where he$/$she is processed on a first$-$come, first$-$serve basis. The salon has five halr styllsts who work elght hours each day. It takes, on average, $25$ minutes for a stylist to greet the customer, wash and$/$or cut his halr, and wish him a fond farewell. Then Mike completes the process by taking the customer's money and telling him about the satisfaction guarantee offered by the shop. This final set of steps takes two minutes on average.

a$.$ Assuming that the waiting area always has at least one customer in it$,$ how many customers on average can Mike's salon process in a day $($assuming no problems in utilization, quality, or efficlency$)?$

Average customers

$365$ per day