QUESTION FOUR [25] 4.1 The following table represents a project you are working on.

4.1 Calculate the time (t) and variance (v) for each activity. (8)

4.2 Describe how the network diagram (AON) can be used for the information presented above. (diagram not required) (12)

4.3 Identify the paths and the critical path. (5)

\begin{tabular}{|r|c|c|c|l|l|l|} \hline Activity & Predecessor & Time (days) Optimistic & Time (days) Most likely & Time (days) & t & V \\ \hline a & & 15 & 18 & 25 & & \\ \hline b & & 15 & 18 & 20 & & \\ \hline c & a,b & 6 & 10 & 12 & & \\ \hline d & c & 18 & 24 & 26 & & \\ \hline e & d & 13 & 19 & 25 & & \\ \hline f & d & 12 & 18 & 23 & & \\ \hline g & d & 15 & 17 & 19 & & \\ \hline h & f,g & 22 & 25 & 30 & & \\ \hline i & e,f & 11 & 15 & 17 & & \\ \hline \end{tabular}