ANSWER:
Activity | Optimistic time-a | Expected completion time-m | Pessimistic time-b | Expected time= (a+4*m+ b)/6 |
A | 1 | 2 | 4 | 2.17 |
B | 11 | 12.5 | 14 | 12.50 |
C | 9 | 12 | 15 | 12.00 |
D | 4 | 5 | 7 | 5.17 |
E | 2 | 4 | 5 | 3.83 |
F | 4 | 7 | 8 | 6.67 |
G | 3 | 5 | 6.5 | 4.92 |
H | 4 | 7 | 9 | 6.83 |
I | 10.5 | 13 | 14 | 12.75 |
J | 3 | 4 | 7 | 4.33 |
K | 2 | 4 | 6 | 4.00 |
L | 1 | 5 | 6 | 4.50 |
M | 3 | 6 | 6.5 | 5.58 |
N | 8 | 12.3 | 15 | 12.03 |
O | 4 | 7 | 8 | 6.67 |
P | 3 | 8 | 9 | 7.33 |
step 1 | find early start, and early finish from the start of the project for each activity |
Activity | Duration, D | Early start, ES=Max of early finish of preceding activities | Early finish, EF = ES + D |
A | 2.17 | 0.00 | 2.17 |
B | 12.50 | 0.00 | 12.50 |
C | 12.00 | 0.00 | 12.00 |
D | 5.17 | 0.00 | 5.17 |
E | 3.83 | 0.00 | 3.83 |
F | 6.67 | 2.17 | 8.84 |
G | 4.92 | 12.50 | 17.42 |
H | 6.83 | 12.00 | 18.83 |
I | 12.75 | 12.00 | 24.75 |
J | 4.33 | 12.00 | 16.33 |
K | 4.00 | 5.17 | 9.17 |
L | 4.50 | 3.83 | 8.33 |
M | 5.58 | 18.83 | 24.41 |
N | 12.03 | 16.33 | 28.36 |
O | 6.67 | 24.75 | 31.42 |
P | 7.33 | 28.36 | 35.69 |
step 2 | Find Maximum EF |
Max of EF is 35.69, hence the project will take 35.69 weeks
Answer a: So we should start the project 35.69 weeks before
Please ask, if you have any doubts through the comment section. Do rate the answer
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