For an imaginary software development project the top level Work Breakdown Structure $($WBS$)$ looks like this:

Activity Description

Preceding Activity

Optimistic Realistic Pessimistic

A Define Requirements None $21018$

B Assign Team A $258$

C Design Software B $102534$

D Code Software B $122034$

E Test Software D $305064$

F Develop Patent Request C$,$ E $91116$

G Build Deployment Package D $303540$

H Deploy to Client E$,$ F$,$ G $71517$

All duration estimates are in days, and the network proceeds from Activity A to Activity H$.$

Assume a $5$ day work week.

Draw a simple activity$-$on$-$node $($AoN$)$ network diagram representing the project.

How many paths are possible?

Show, or identify the activities for the Critical Path of this project? How many days?

Which activities demonstrate Slack time?

What is the shortest possible time, in weeks, it will take to complete this project?