Answer question $2$ only

$2.$ The following information is known about a project to upgrade a point$-$of$-$sale system at Kids and Tots Apparel.

$\backslash$table$[[$Activity$,$Activity Time $($days$),$Immediate Predecessor$($s$)],[$A$,7,-],[$B$,2,$A$]]$

$\backslash$table$[[$Activity$,$Activity Time $($days$),$Immediate Predecessor$($s$)],[$C$,4,$A$],[$D$,4,$B$,$ C$],[$E$,4,$D$],[$F$,3,$E$],[$G$,5,$E$]]$

a$.$ Draw the network diagram for this project.

b$.$ Determine the critical path and project duration.

c$.$ Calculate the slack for each activity.

$3.$ A project for improving a billing process has the following precedence relationships and activity times:

$\backslash$table$[[$Activity$,$Activity Time $($weeks$),$Immediate Predecessor$($s$)],[$A$,3,-],[$B$,11,-],[$C$,7,$A$],[$D$,13,$B$,$ C$],[$E$,10,$B$],[$F$,6,$D$],[$G$,5,$E$],[$H$,8,$F$,$ G$]]$