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 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.

Q1. If Randy walks into SHC, how long, on average, will he wait
in line (in minutes) before he receives a haircut? (Only include
the waiting time, not any service time)

Q2. SHC provides drinks and chocolate chip cookies to customers
that are waiting in line before receiving service. SHC estimates
that every minute of customer waiting time costs them 25 cents
because of the consumed food. What is the cost of food (in $) SHC
spends per day? Assume that SHC operates for 10 hours each day.

Q3. How many customers will there be waiting in line at SHC on
average?

Q4. If Randy walks into LHS, how long, on average, will he wait
in line (in minutes) before he receives a haircut? (Only include
the waiting time, not any service time)

Q5. What is the total average flow time (in minutes) of LHS,
which includes both the waiting time and the time in service?

Q6. How many customers, on average will be in LHS, including
both customers waiting in line and customers being served?

Q7. What is the average number of customers in service
(excluding those that are waiting in line) at LHS?

Q8. What is the average number of customers waiting in line
(excluding those that are being served) at LHS?

Q9. LHS will buy out SHC. LHS will then close SHC’s operations
and serve all customers, including existing SHC customers, at the
LHS location only. Assuming that the previous traffic of SHC
customers now flows to the LHS location, what is the new
inter-arrival time (in minutes) at LHS? (Hint: Find the new demand
by adding the demand for LHS and the demand for SHC. From the new
demand, find the new inter-arrival time.)