Given the following time chart

$\backslash$table$[[$Activity$,$Immediate Predecessor $($s$),$Time $($Days$)],[-,5],[$B$,$A$,2],[$C$,$A$,4],[$D$,$B$,5],[$E$,$B$,5],[$F$,$C$,5],[$G$,$E$,$ F$,2],[$H$,$D$,3],[$I$,$G$,$ H$,5]]$

$(1)$ Draw the network diagram

$(2)$ What is the critical path.

$(3)$ What is the project completion time.

$(4)$ Slack time for each activity