Allegheny bank has a branch at the local community college. the branch is the busiest at the beginning of the college year when freshman open accounts. this year, freshman arrived at the office at a rate of 3 every twelve minutes. on average, it takes the allegheny bank staff person about 2.5 minutes to process each account application. the bank is considering having one or two tellers. each teller is paid $15 per hour and the cost of waiting in line is assumed to be $19 per hour. based on a single server answer the following:

a. what is the probability that 2 or less than 2 customers are in the line? 76%
b. what is the average time that a students waits before having a teller take care of their request? 5.35 minutes 4 minutes
c. what is the system cost per hour with the single teller? $34.79
d. if 2 tellers are now employed, what is the time in the system? 2.95 minutes minutes
e. what is the cost of the system based on 2 tellers? $61.56
f. what is the cost savings or increase by adding a second teller? $-11.88