$(20$ Marks$)$

A building construction company was awarded a project. The project manager has been very concerned with the amount of time it took to complete several recent jobs. The data $($all in days$)$ for the new contract are listed in the following table:

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$]],$Duration$],[,,],[$A$,$cdots$-$cdots,$2],[$B$,$cdots$-$cdots,$4],[$C$,$cdots$-$cdots,$2],[$D$,$dots$-$cdots,$5],[$E$,$A$,$ B$,2],[$F$,$C$,$ D$,3],[$G$,$D$,6],[$H$,$C$,$ E$,3],[$I$,$F$,$ G$,$ H$,5],[$J$,$E$,$ H$,9]]$

$3\mathrm{.}1$ Construct an AON network for the activities of this contract.

$(10$ marks$)$

$3\mathrm{.}2$ Determine the different paths and identify the critical path for the project.

$(10$ marks$)$