A project consists of five activities (A, B, C, D and E). The duration of each activity follows beta distribution. The three time estimates (in weeks) of each activity and immediate predecessor(s) are listed in the table. The expected time of the project completion is ______ weeks (in integer).
Activity |
Time estimates (in weeks) |
Immediate predecessor(s) |
||
Optimistic time |
Most likely time |
Pessimistic time |
||
A |
4 |
5 |
6 |
None |
B |
1 |
3 |
5 |
A |
C |
1 |
2 |
3 |
A |
D |
2 |
4 |
6 |
C |
E |
3 |
4 |
5 |
B, D |
Activities A to K are required to complete a project. The time estimates and the immediate predecessors of these activities are given in the table. If the project is to be completed in the minimum possible time, the latest finish time for the activity G is ______ hours.
$$ \begin{array}{|c|c|c|} \hline \text { Activity } & \text { Time (hours) } & \text { Immediate predecessors } \\ \hline \text { A } & 2 & - \\ \hline \text { B } & 3 & - \\ \hline \text { C } & 2 & - \\ \hline \text { D } & 4 & \text { A } \\ \hline \text { E } & 5 & \text { B } \\ \hline \text { F } & 4 & \text { B } \\ \hline \text { G } & 3 & \text { C } \\ \hline \text { H } & 10 & \text { D, E } \\ \hline \text { I } & 5 & \text { F } \\ \hline \text { J } & 8 & \text { G } \\ \hline \text { K } & 3 & \text { H, I, J } \\ \hline \end{array} $$The minimum project completion time (in days) is ___________