Considering the project information presented in the table below:

a$.$ Draw the network diagram

b$.$ Calculate the total duration of the project

c$.$ Identify the critical path of the project

$\backslash$table$[[$Activity$,$Predecessors,Duration$],[$A$,-,10],[$B$,$A$,8],[$C$,$A$,25],[$D$,$B$,10],[$E$,$B$,3],[$F$,$D$,4],[$G$,$E$,$ C$,15],[$H$,$G$,4],[$I$,$H$,$ F$,5]]$