Problem 1). You have been given a small project to manage that your boss feels is important. Six tasks have been identified that define the project; the expected duration and precedence relationships between these tasks are indicated in the table below. Assume that the project begins at time 0.

Assuming that all precedence relationships are Finish-to-Start, use the Critical Path Method (CPM) (e.g., forward pass, backward pass) to find the early start times, early finish times, late start times, late finish times, total slacks and free slacks for each task. Which tasks are critical?

\begin{tabular}{|ccc|} \hline Task & \begin{tabular}{c} Duration \\ (wks) \end{tabular} & \begin{tabular}{c} Immediate \\ Predecessor(s) \end{tabular} \\ \hline \hline Start & 0 & - \\ A & 9 & Start \\ B & 12 & Start \\ C & 10 & Start \\ D & 5 & A, B \\ E & 9 & C, D \\ F & 7 & D \\ END & 0 & E, F \\ \hline \end{tabular}