Randy needs to decide where to get a haircut. He has narrowed the choice down to two local hair salons - Large Hair Salon (LHS) and Small Hair Cutters (SHC).
A new customer a new customer walks into LHS every 15 minutes on average, with a standard deviation of 15 minutes. At SHC, a customer walks in every hour on average, with a standard deviation of 1 hour. LHS has a staff of 4 barbers, while SHC has 1 barber. The average service time at both salons is 30 minutes, with a standard deviation of 30 minutes.
1. If Randy walks in SHC, how long on average, will he wait in line (in minutes) before he recieves a haircut? (Only include waiting time, not any service time)
2. SHC provides drinks and cookies to customers waiting in line before recieving service. SHC estimates that every minute of customer waiting tme costs them 25 cents. What is the cost of food SHC spends per day? Assume SHC operates 10 hrs a day.
3. How many customers will there be wating in line at SHC on average?
4. If Randy walks into LHS, how long on average, will he wait in line (in minutes) before he recieves a haircut? (only include waiting time, not any service time)
5. What is the total average flow time(in minutes) of LHS, which incudes both the waiting time and the time in service?
6. How many customers, on average will be in LHS, including both customers waiting in line and customers being served?
7. What is the average number of customers in service (exclude waiting in line) at LHS?
8. What is the average number of customers waiting in line (exclude being served) at LHS?