i$)$ Draw the project network. Use activity on node $($A$-$O$-$N$)$ method.

ii$)$ Identify the Critical Path. Calculate the length and variance of the Critical Path.

iii$)$ Identify the non$-$critical activities. Work out the Total Slack $($TS$)$ and Free Slack $($FS$)$

for all the non$-$critical activities.

iv$)$ State whether the network is sensitive or insensitive!

v$)$ What is the approximate probability that jobs on the critical path will be completed by

the due date of $($a$)25$ days, $($b$)30$ days?