The following information about a project is given below:

$\backslash$table$[[$Activity$,\backslash$table$[[$Predecessor$],[$Activity$]],$Duration $($Weeks$)],[$A$,,2],[$B$,,2],[$C$,,4],[$D$,$A$,$B$,4],[$E$,$B$,4],[$F$,$B$,2],[$G$,$F$,$C$,6],[$H$,$B$,3],[$I$,$E$,$H$,2],[$J$,$E$,$H$,2],[$L$,$C$,$D$,$F$,$J$,2],[$L$,$K$,4]]$

a$.$ Draw the network for the above project.

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