when customers arrive at gilley’s ice cream shop, they take a number and wait to be called to purchase ice cream from one of the three counter serves. on summer days between 3-10pm, customers arrive at the rate 36 per hour – poisson distributed. it takes an average 4 minutes to serve a customer – exponential distributed. gilley’s want to make sure that customers, on average, wait no longer than 10 minutes. what is the proper queueing model for this problem?
a. m/m/1 queue
b. m/m/s queue
c. m/m/1/c (finite capacity/finite queue)
d. m/m/1/fp (finite population queue)
2. what percentage of time gilley’s has no customer in the shop?
3. what is the average number of customers waiting for the ice cream?
a. 0.889 customers
b. 4.933 customers
c. 2.589 customers
d. 1 customers
4. on average, how long does it take for a customer from the moment he/she arrives until he/she gets hie/her ice cream?
a. 11.59 minutes
b. 5.43 minutes
c. 5.78 minutes
d. 8.32 minutes
5. what percentage of customers who must wait for a counter server to become available?
6. what is the maximum number of customers waiting in the room for the probability of 95%
a. 3 customers
InputsTime UnitArrival Rate ( lambda )Service rate ( mu)Number of serversIntermediate calculationsAverage time between arrivalsAverage service time per serverCombined service rate ( s*mu)…