Given the activities below $(10$ pts$)$:

A$.$ Draw the project network

B$.$ Determine the time required for each possible path to completion & denote which is the critica path

C$.$ For each activity, determine the earliest start $($ES$),$ earliest finish $($EF$),$ latest start $($LS$),$ latest finish $($LS$),$ and the slack time $($if it exists$)$