An Ice Cream Shop Is Quite Busy After the Neighborhood

Essay

An ice cream shop is quite busy after the neighborhood high school lets out each day. From 3 pm to 5 pm customers arrive at the rate of 50 per hour, on average. Currently, the clerk can serve one customer per minute, on average. The store manager can buy an electrically heated scoop with an automatic ice cream ejector which will decrease the serving time to one custom-er per 45 seconds, on average.
a. What is the current time (in minutes) spent waiting in line?
b. What will the waiting time (in minutes) become using the automatic ice cream ejector?
c. What fraction of time is the clerk currently idle?
d. What fraction of time will the clerk be idle using the automatic ice cream ejector?
e. How many customers, on average, are in the shop under the current system?
f. How many customers would be in the shop, on average, using the automatic ice cream ejector?