Table given in image is an Activity Network Data Table showing all the project activities involved in manufacturing these extruded plastic inner linings. Note: There is an overhead cost$/$hr$.$ of $$20\mathrm{.}00($for administration etc.$)$

$($a$)$Create an Activity Network Diagram

$($b$)$What are all the possible paths and durations?

$($c$)$What is the critical path and duration?

$($d$)$What is the normal total cost and duration?

$($e$)$What is the crash total cost and duration?

$($f$)$After crashing, has the critical path changed? If so$,$ what is the new critical path and duration?

$($g$)$Are there any activities that are not worth crashing? Explain.

$($h$)$Overall$,$ on average how much extra does it cost$/$hr$.,$ if this project is crashed?

$($i$)$What is the optimistic and pessimistic critical path durations?

Show all your calculations!