$(10$ points$)$

A company must perform a maintenance project consisting of seven activities. The activities, their predecessors, and their respective time estimates are presented here:

$\backslash$table$[[,,$Immediate,$],[$Activity$,$Designation,Predecessor,Time in Days$],[$Break down both machines,A$,$None,$3],[$Clean machine $1,$B$,$A$,3],[$Clean machine $2,$C$,$A$,3],[$Re$-$set machine $1,$D$,$B$,1],[$Re$-$set machine $2,$E$,$C$,2],[$Re$-$calibrate both machines,F$,$D and E$,1],[$Final test,G$,$F$,2]]$

Draw Project Network and use CPM method to analyze the project, state the earliest $($start$/$finish$)$ and the latest $($start$/$finish$)$ times for each activity $($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$)$ in this project, identify the critical path.