Q$4.$ The following represents a project that should be scheduled using CPM:

TIMEs $($DAYs$)$

a$.$ Draw the network.

b$.$ What is the critical path?

c$.$ What is the expected project completion time?

d$.$ What is the probability of completing this project within $15$ days?

Q$5$ a$)$ A firm has redesigned its production process so that it now takes $10$ hours for a unit to be

made. Using the old process, it took $15$ hours to make a unit. If the process makes one unit each

hour on average and each unit is worth $$3,600,$ what is the reduction in work$-$in$-$process value?

b$)$ The Avis Company is a car rental company and is located three miles from the Los Angeles

airport $($LAX$).$ Avis is dispatching a bus from its offices to the airport every $2$ minutes. The

average traveling time $($a round trip$)$ is $10$ minutes.

i$).$ How many Avis buses are traveling to and from the airport?

ii$).$ The branch manager wants to improve the service and suggests dispatching buses every $0\mathrm{.}5$

minutes. She argues that this will reduce the average traveling time from the airport to Avis's

offices to $2\mathrm{.}5$ minutes. Is she correct? If not, then what will be the average traveling time?

Hint: Use Little's Law to solve these problems