2. Project Scheduling PERT/CPM A project manager, dealing with a project with uncertain activity times, identified the following activity information for this project.

a) Draw the project network.

b) Prepare the activity schedule?

c) What are the critical activities, what is the expected project completion time, and the variance on critical path?

\begin{tabular}{|c|c|c|c|c|} \hline Activity & ImmediatePredecessor & Optimistictime(Weeks) & Mostprobabletime(Weeks) & Pessimistictime(Weeks) \\ \hline A & - & 1.5 & 2.0 & 2.5 \\ \hline B & A & 2.0 & 2.5 & 6.0 \\ \hline C & - & 1.0 & 2.0 & 3.0 \\ \hline D & C & 1.5 & 2.0 & 2.5 \\ \hline E & B,D & 0.5 & 1.0 & 1.5 \\ \hline F & E & 1.0 & 2.0 & 3.0 \\ \hline G & B,D & 3.0 & 3.5 & 7.0 \\ \hline H & G & 3.0 & 4.0 & 5.0 \\ \hline I & F,H & 1.5 & 2.0 & 2.5 \\ \hline \end{tabular}