Question $1$ The Engineering School is creating a new student computer lab. The table below shows the activities required to construct a new computer lab, along with their estimated durations $($in weeks$)$ and predecessor activities.

$\backslash$table$[[$Activity$,$Time $($weeks$),$Predecessors$],[$Order Furniture $($OF$),1,-],[$Order Computers $($OC$),1,-],[$Order Software $($OS$),1,$OC$],[$Furniture Delivery $($FD$),6,$OF$],[$Computer Delivery $($CD$),3,$OC$],[$Software Delivery $($SD$),2,$OS$],[$Assemble Furniture $($AF$),1,$PR$,$ FD$],[$Install Computers $($IC$),1,$AF$,$ CD$],[$Install Software $($IS$),1,$IC$,$ SD$],[$Install Electrical Wiring $($IEW$),2,-],[$Paint Room $($PR$),1,$IEW$]]$

a$.$ Draw the project network.

b$.$ Determine the critical path using Critical Path Method.