QUESTION THREE $[25]$

The information relating to a project that you are working on is listed in the table below:

Activity Predecessor Optimistic

Time

$($Days$)$

Most likely

Time

$($Days$)$

Pessimistic

Time

$($Days$)$

A $-4824$

B $-31011$

C $-61224$

D A;B $91425$

E B;C $111627$

F D;E $131535$

G F $5919$

Required:

$3\mathrm{.}1$ Using the PERT formula calculate the time value $($t$)$ for each activity and construct

the network diagram $($Activity on Node$).(10)$

$3\mathrm{.}2$ Calculate the Early Start; Late Start; Early Finish & Late Finish and slack times for

all activities. $(10)$

$3\mathrm{.}3$ Identify the paths and show critical path. $(5)$