Develop a logic network $($activity on node$)$ for the sequence of activities listed in the table below. Calculate and display $($in the node$)$ the Early Start $($ES$),$ Early Finish $($EF$),$ Late Start $($LS$),$ Late Finish $($LF$),$ Total Float $($TF$),$ and Free Float $($FF$)$ for each activity. Also determine the Project Duration and identify $($hi$-$lite$)$ the Critical Path.

$\backslash$table$[[$ACTIVITY$,\backslash$table$[[$DURATION$],[($days$)]],$PIB$],[$Start$,0,$None$],[5,3,$Start$],[10,2,$Start$],[15,3,5],[20,4,5],[25,2,10],[30,3,15],[35,1,25],[40,4,20,30,35$