$2251$

$4$

Question $1,$ Problem $6\mathrm{.}2\mathrm{.}14$

Part $2$ of $2$

A business organisation is trying to improve staff morale and motivation and has decided to replace the $e$ detailed list of the various activities that will need to be completed, together with an estimate of how long following table.

$\backslash$table$[[$Activity$,,$Duration,$\backslash$table$[[$Preceding$],[$activities$]],\backslash$table$[[$Personnel$],[$required$]]],[$A$,$Purchase construction materials,$11$ weeks,$-,3],[$B$,\backslash$table$[[$Purchase catering equipment$],[$needed for new cafeteria$]],2$ weeks,$-,2],[$C$,$Appoint supervisory architect,$3$ weeks,$-,1],[$D$,$Clear site,$2$ weeks,$-,3],[E,$Produce final building details,$8$ weeks,C$,$ D$,1],[$F$,$Prepare site for construction,$2$ weeks,$E,2],[$G$,$Construct cafeteria,$12$ weeks,$A,F,5],[H,$Install utility services,$4$ weeks,G$,2],[1,$Install catering equipment,$3$ weeks,$B,H,2],[$J$,$Decorate internally,$2$ weeks,$B,H,2],[K,$Stock cafeteria,$2$ weeks,I,$J,1],[L,$Hire catering staff,$9$ weeks,$-,2],[M_{?},$Train staff on site,$3$ weeks,I,$L,3]]$

$($a$)$ Identify the critical path.

$($b$)$ Determine float times for all activities.

$($a$)$ The critical path is C$-$E$-$F$-$G$-$H$-$I$-$M $.$

$($b$)$

$\backslash$table$[[$Activity$,$Duration,Float$],[$A$,11,],[$B$,2,],[$C$,3,$

Find $($a$)$ and $($b$)$