Parts P1 - P7 are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total completion time required for carrying out both the operations for all 7 parts is _______ hours.
|
Part |
Milling (hours) |
Polishing (hours) |
|
P1 |
8 |
6 |
|
P2 |
3 |
2 |
|
P3 |
3 |
4 |
|
P4 |
4 |
6 |
|
P5 |
5 |
7 |
|
P6 |
6 |
4 |
|
P7 |
2 |
1 |
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 |
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