$(10$ points$)$ For the following project complete a PERT diagram and determine the normal time to complete, slack for each activity, and the critical path.

$\backslash$table$[[$Activity$,$Predecessors,Normal Time$],[$A$,-,8],[$B$,-,12],[$C$,-,10],[$D$,$A$,$B$,15],[$E$,$B$,$C$,11],[$F$,$D$,12],[$G$,$D$,13],[$H$,$E$,10],[$I$,$F$,$ G$,$ H$,3]]$

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