QUESTION $4$

$(20$ Marks$)$

Care Construction Pvt Ltd has been awarded a contract to build a new office complex for a multinational corporation in a bustling urban area. The project is slated to begin in three months and the activities are provided for below.

$\backslash$table$[[$Activity$,$Preceding,$\backslash$table$[[$Optimistic$],[$Time$]],\backslash$table$[[$Probable$],[$Time$]],\backslash$table$[[$Pessimistic$],[$Time$]]],[$A$,-,7,10,19],[$B$,$A$,2,2,8],[$C$,$A$,8,12,16],[$D$,$A$,3,5,10],[$E$,$B$,4,8,10],[$F$,$D$,2,2,16],[$G$,$H$,6,6,14],[$H$,$G$,$ I,$4,5,8],[$J$,2,8,10,]]$

a$)$ The activities that are critical for the project and should not be delayed.

b$)$ Determine the expected completion time of each of the project activities.

c$)$ Determine the estimated time of completion of the project.