Please do not answer the question if you can\'t answer it step by step with comp
ID: 450020 • Letter: P
Question
Please do not answer the question if you can't answer it step by step with complete formula to be able to understand.
1- Consider the following project schedule:
Activity
Immediate
Predecessor
Optimistic
Most probable
Pessimistic
A
--
1
2
3
B
--
2
3
4
C
A
4
5
6
D
B
8
9
10
E
C
2
5
8
F
B
4
5
6
G
E
1
2
3
Determine the expected time, earliest time, latest start, finish times and variance for each activity. Also determine the critical path and expected project completion time.
Activity
Immediate
Predecessor
Optimistic
Most probable
Pessimistic
A
--
1
2
3
B
--
2
3
4
C
A
4
5
6
D
B
8
9
10
E
C
2
5
8
F
B
4
5
6
G
E
1
2
3
Explanation / Answer
Activity Optimistic Most Probable Pessimistic Expected Time Variance Predecessor ES EF LS LF Slack A 1 2 3 2.00 0.11 None 0 2.00 0.00 2 0 Critical Path Activity B 2 3 4 3.00 0.11 None 0 3.00 2.00 5 2 C 4 5 6 5.00 0.11 A 2 7.00 2.00 7 0 Critical Path Activity D 8 9 10 9.00 0.11 B 3 12.00 5.00 14 2 E 2 5 8 5.00 1.00 C 7 12.00 7.00 12 0 Critical Path Activity F 4 5 6 5.00 0.11 B 3 8.00 9.00 14 6 G 1 2 3 2.00 0.11 E 12 14.00 12.00 14 0 Critical Path Activity 31.00 1.67 Paths Duration Weeks A-C-E-G 2+5+5+2 14.00 Critical path B-D 3+9 12.00 B-F 3+5 8.00 *Expected = (Optimistic + 4 * Probable + Pessimistic) / 6 Variance = (Pessimistic - Optimistic / 6)^2 Standard Deviation = Variance ES = E of Tail Event EF = ES + Activity Duration LF = L of Head Event LS = LF - Activity Duration Slack - LS - ES E = Earliest occurrence time for the event L = Latest allowable time for the occurrence of event Critical path = A-C-E-G Expected Time = 14 Variance = 1.3333 Standard Deviation = 1.1547 weeks