The activities of a project, their duration and the precedence relationships are given in the table
Q. The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship “X < Y, Z” means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is weeks.
| Activity | Duration (Weeks) | Precedence Relationship |
| A | 5 | A < B, C, D |
| B | 7 | B < E, F, G |
| C | 10 | C < I |
| D | 6 | D < G |
| E | 3 | E < H |
| F | 9 | F < I |
| G | 7 | G < I |
| H | 4 | H < I |
| I | 2 | —- |
(A) 17 (B) 21
(C) 23 (D) 25
Ans: 23
Sol:
So critical path is A – B – F – I
Critical path duration = 23 weeks