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.

Activity Preceding

Optimistic

Time

Probable

Time

Pessimistic

Time

A $--71019$

B A $228$

C A $81216$

D A $3510$

E B $468$

F B $6810$

G C$,$ F $234$

H D $228$

I H $6816$

J G$,$ I $4614$

K E$,$ J $258$

You have been asked by the project manager to assist in determining the following.

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.