Given the project within the table below, calculate the following:

$($a$)$ The critical path

B$-$D$-$E$-$F$-$G

$($b$)$ The project duration $23$

$($c$)$ The amount of slack for activity

$\backslash$table$[[$Activity$,\backslash$table$[[$Duration$],[($hours$)]],\backslash$table$[[$Immediate$],[$Predecessors$]]],[$A$,14,$None$],[$B$,10,$None$],[$C$,3,$None$],[$D$,7,$B$,$C$],[$E$,1,$D$],[$F$,1,$E$],[$G$,4,$A$,$F$]]$