Question $4$

In order for the project manager at Lebopo Pharmaceutical Co$-$operation$($LPC$)$ to complete the COVID$-19$ clinical trials he has

to carry out the following activities indicated as $A$ to $G$ in the table below. The project leader has also compiled estimated

completion times $($in weeks$)$ as well as the immediate predecessors.

a$)$ Construct the network AON diagram for LPC$\text{'}$s COVID$-19$ trials project.$(5$ marks$)$

b$)$ Calculate the earliest and latest start and finish times for all activities$(8$ marks$)$

c$)$ Determine the critical path for the COVID$-19$ trials project.$(2$ marks$)$

d$)$ Determine the expected project completion time.$(2$ marks$)$

e$)$ Calculate the variance for each activity.$(4$ marks$)$

f$)$ Find the probability of completing the COVID$-19$ clinical trials $3$ weeks earlier than the determined expected time.$(4$

marks$)$