Problem $2.(10$ pts$)$

With the information given in Problem $1,$ the managers of the Administrative Services

Office know that students hate waiting in line before getting served. The cost of good

will is $$10/$hour for every hour that each student waits in lines. To reduce the time a

student spends waiting, they know that they need to improve Judy$$s processing time

$($see the last problem$).$ They are currently considering the following two options:

a$.$ Install a computer system, with which Judy expects to be able to complete a

student request $40$ percent faster $($from $2$ minutes per request to $1$ minute and

$12$ seconds, for example$).$

b$.$ Hire another temporary clerk working in parallel serving a single queue, who

will work at the same rate as Judy.

If the computer costs $$50$ to operate per day, while the temporary clerk gets paid $$70$

per day, is Judy right to prefer the hired help? Assume exponential interarrival times

and exponential service times.Problem $2.(10$ pts$)$

With the information given in Problem $1,$ the managers of the Administrative Services

Office know that students hate waiting in line before getting served. The cost of good

will is $$10/$hour for every hour that each student waits in lines. To reduce the time a

student spends waiting, they know that they need to improve Judy$$s processing time

$($see the last problem$).$ They are currently considering the following two options:

a$.$ Install a computer system, with which Judy expects to be able to complete a

student request $40$ percent faster $($from $2$ minutes per request to $1$ minute and

$12$ seconds, for example$).$

b$.$ Hire another temporary clerk working in parallel serving a single queue, who

will work at the same rate as Judy.

If the computer costs $$50$ to operate per day, while the temporary clerk gets paid $$70$

per day, is Judy right to prefer the hired help? Assume exponential interarrival times

and exponential service times.