Question $2(35$ marks$)$:

A company has a project to complete. To complete the project, the following activities should be done. Draw the Project Diagram$/$Network $(15$ pts$)$ of this project and develop a Linear Program $(20$ pts$)$ for computing a critical path $($NO NEED TO SOLVE IT$).$

$\backslash$table$[[$Activity$,$Predecessors,$\backslash$table$[[$Duration$],[($months$)]]],[$A$,-,4],[$B$,-,3],[$C$,-,8],[$D$,$A$,2],[$E$,$B$,$ D$,6],[$F$,$E$,$ C$,7],[$G$,$E$,1],[$H$,$F$,$ G$,4]]$