$($c$)$ For the following task table, draw the network diagram, calculate total duration of the project, find the critical path and calculate free and total slack for each activity:

$\backslash$table$[[$Task$,$Successor,Duration $($days$)],[$A$,$L$,$ B$,3],[$B$,$I,$4],[$C$,-,5],[$D$,$A$,$ J$,5],[$E$,$J$,4],[$F$,$I,$4],[$G$,$A$,3],[$H$,-,3],[$I$,$C$,$ K$,$ H$,4],[$J$,$B$,$ F$,3],[$K$,-,5],[$L$.,$I,$2]]$

Explain answers in details, why taking which activity at first or last and use AOA method, thanks in advance