project networks

1. Project Management
1

2. Activity Predecessor
A -
B -
C A
D A
E B
F C
G D, E
2

3. 1
3
2A
B
5
4C
D
E
6
F
G
Activity Predecessor
A -
B -
C A
D A
E B
F C
G D, E 3

4. Activity Predecessor Duration
(Weeks)
A - 5
B A 4
C A 7
D B 8
E C 9
F D, E 4
4

5. A - 5
B A 4
C A 7
D B 8
E C 9
F D, E 4
1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
5

6. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
6

7. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
7

8. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
8

9. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
9

10. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
A  C  E  F = 5 + 7 + 9 + 4 = 25
10

11. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
11

12. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
A  C  E  F = 5 + 7 + 9 + 4 = 25
A  B  D  F = 5 + 4 + 8 + 4 = 21
12

13. 1
3
2
A
B
5
4C
D
F
6
E
5
4
7
8
49
A  C  E  F = 5 + 7 + 9 + 4 = 25
A  B  D  F = 5 + 4 + 8 + 4 = 21
13

14. Activity Predecessor Duration
1–2 A - 3
1–3 B - 5
1–4 C - 4
2–5 D A 2
3–5 E B 3
4–6 F C 9
5–7 G D, E 8
3–6 H B 7
6–7 I H, F 9 14

15. A - 3
B - 5
C - 4
D A 2
E B 3
F C 9
G D, E 8
H B 7
I H, F 9
1
4
2
A
C
5
7
E
F
B
3
D
G
H
6
I3
4
3
9
5
2
8
7
9
15

16. Activity Duration
1–2 A 4
1–3 B 1
2–4 C 1
3–4 D 1
3–5 E 6
4–9 F 5
5–6 G 4
5–7 H 8
6–8 I 1
7–8 J 2
8–10 K 5
9–10 L 7 16

17. 1–2 1–3 2–4 3–4 3–5 4–9 5–6 5–7 6–8 7–8 8–10 9–10
4 1 1 1 6 5 4 8 1 2 5 7
1 2
3
4 9 10
5 6 8
7
17

18. Activity Duration (Hours)
1–2 2
1–3 2
1–4 1
2–5 4
3–6 8
3–7 5
4–6 3
5–8 1
6–9 5
7–8 4
8–9 3 18

19. Activity 1–2 1–3 1–4 2–5 3–6 3–7 4–6 5–8 6–9 7–8 8–9
Duration (Hours) 2 2 1 4 8 5 3 1 5 4 3
1 3
2
4
6
7
5
8
9
19

20. ACTIVITY PREDECESSOR DURATION (WEEKS)
A - 5
B A 2
C A 6
D B 12
E D 10
F D 9
G D 5
H B 9
I C, E 1
J G 2
K F, I, J 3
L K 9
M H, G 7
N M 8 20

21. 1
A
2
A B C D E F G H I J K L M N
- A A B D D D B C, E G F, I, J K H, G M
5 2 6 12 10 9 5 9 1 2 3 9 7 8
C
5
B
3
D
4
E
F
7
K
10
G
6
N
H
8
O
9
M
I
J
L
11
21

22. ACTIVITY PREDECESSOR DURATION
A - 6
B - 4
C A 20
D B 12
E B 11
F C 5
G C, D, E 4
H E 30
I G 8
J G 10
K F, I 7
L H, J, K 6
M H, J, K 4
N L 10
P M, N 3
22

23. ACTIVITY A B C D E F G H I J K L M N P
PREDECESSOR - - A B B C C, D, E E G G F, I H, J, K H, J, K L M, N
DURATION 6 4 20 12 11 5 4 30 8 10 7 6 4 10 3
A
B
C
E
D
F
G
H
J
I
K
L
M
N
P
23

24. ACTIVITY PREDECESSOR DURATION (weeks)
A - 4
B A 13
C A 5
D C 11
E C 3
F D, E 4
G - 3
H A, G 5
I G 4
J H 17
K H 2
L J, K 3
M F, L 3
N B, M 3
O I, M 2
P O 3
Q N, P 4
24

25. ACTIVITY A B C D E F G H I J K L M N O P Q
PREDECESSOR - A A C C D, E - A, G G H H J, K F, L B,
M
I,
M
O N, P
DURATION 4 13 5 11 3 4 3 5 4 17 2 3 3 3 2 3 4
A
BC
D
E
G H J
K
F
L M
I
N
O
P
Q
25

26. ACTIVITY DURATION
(months)
Variance
1–2 4 1
2–3 2 1
3–6 3 1
2–4 6 2
1–5 2 1
5–6 5 1
4–6 9 5
5–7 7 8
7–8 10 16
6–8 1 1 26

27. ACTIVITY 1–2 2–3 3–6 2–4 1–5 5–6 4–6 5–7 7–8 6–8
DURATION (months) 4 2 3 6 2 5 9 7 10 1
1 2 3 6 8
4
5 7
27

28. Activity Predecessor Duration
(Weeks)
σ
A - 6 1
B - 3 0.5
C A 5 1
D A 4 1
E A 3 0.5
F C 3 0.5
G D 5 1
H B, D, E 5 1
I H 2 0.5
J I, G, F 3 1 28

29. 29
1 2
5
4
3
A
B
D
C
E
7
G
K
H
6
F
I
J
8

30. Activity a m b
1–2 4 8 12
2–3 1 4 7
2–4 8 12 16
3–5 3 5 7
4–5 0 0 0
4–6 3 6 9
5–7 3 6 9
5–8 4 6 8
7–9 4 8 12
8–9 2 5 8
9–10 4 10 16
6–10 4 6 8 30

31. 31
1 2 3
4
5
6
7
8
9 10

32. Activity a m b
1–2 3 6 15
2–3 6 12 30
3–5 5 11 17
7–8 4 19 28
5–8 1 4 7
6–7 3 9 27
4–5 3 6 15
1–6 2 5 14
2–4 2 5 8
32

33. 33
1 2 3
6
5
7
8
4

34. Activity a m b te σ2
1–2 3 6 15 7 4
2–3 6 12 30 14 16
3–5 5 11 17 11 4
7–8 4 19 28 18 16
5–8 1 4 7 4 1
6–7 3 9 27 11 16
4–5 3 6 15 7 4
1–6 2 5 14 6 4
2–4 2 5 8 5 1
34

35. Activity te σ2
1–2 7 4
2–3 14 16
3–5 11 4
7–8 18 16
5–8 4 1
6–7 11 16
4–5 7 4
1–6 6 4
2–4 5 1
1 2 3 5 8
6 7
4
7 14 11 4
11
18
7
5
6
1 – 6 – 7 – 8 = 6 + 11 + 18 = 35
1 – 2 – 3 – 5 – 8 = 7 + 14 + 11 + 4 = 36
1 – 2 – 4 – 5 – 8 = 7 + 5 + 7 + 4 = 23
Project Variance = 4 + 16 + 4 + 1 = 25
Project Standard Deviation (σ) = √25 = 5
35

36. Activity Predecessor a m b
A - 2 4 12
B - 10 12 26
C A 8 9 10
D A 10 15 20
E A 7 7.5 11
F B, C 9 9 9
G D 3 3.5 7
H E, F, G 5 5 5
36

37. Activity Predecessor a m b
A - 2 2 2
B - 1 3 7
C A 4 7 8
D A 3 5 7
E B 2 6 9
F B 5 9 11
G C, D 3 6 8
H E 2 6 9
I C, D 3 5 8
J G, H 1 3 4
K F 4 8 11
L J, K 2 5 7 37

38. Activity Predecessor NT NC CT CC
A - 9 12000 6 18000
B A 14 14000 4 24000
C A 4 2000 3 2400
D C 6 44000 4 56000
E - 14 16000 13 18000
F E 6 4000 6 4000
G B, D 5 4000 3 4800
H F, G 2 12000 1 14000
Indirect cost: Rs.2000/week
38

39. 39
Activity A B C D E F G H
Predecessor - A A C - E B, D F, G
1
A
2
9
B
5
14
C
4
4
D
6
E
3
14
F
6
6
G
5
H
7
2
A – B – G – H = 9 + 14 + 5 + 2 = 30
A – C – D – G – H = 9 + 4 + 6 + 5 + 2 = 26
E – F – H = 14 + 6 + 2 = 22

40. Project Management
Crashing
40

41. Activity Predecessor NT NC CT CC
A - 9 12000 6 18000
B A 14 14000 4 24000
C A 4 2000 3 2400
D C 6 44000 4 56000
E - 14 16000 13 18000
F E 6 4000 6 4000
G B, D 5 4000 3 4800
H F, G 2 12000 1 14000
Indirect cost: Rs.2000/week
41

42. 42
Activity A B C D E F G H
Predecessor - A A C - E B, D F,
G
Duration 9 14 4 6 14 6 5 2
1
A
2
9
B
5
14
C
4
4
D
6
E
3
14
F
6
6
G
5
H
7
2
A – B – G – H = 9 + 14 + 5 + 2 = 30
A – C – D – G – H = 9 + 4 + 6 + 5 + 2 = 26
E – F – H = 14 + 6 + 2 = 22

43. Activity NT NC CT CC
A 9 12000 6 18000
B 14 14000 4 24000
C 4 2000 3 2400
D 6 44000 4 56000
E 14 16000 13 18000
F 6 4000 6 4000
G 5 4000 3 4800
H 2 12000 1 14000
Direct Cost 10800
Indirect cost: Rs.2000/week = 2000 x 30 = 60000
Total Cost = 168000
43

44. 44
Activity Crashed By Duration DC IC TC
None - 30 108000 60000 168000

45. Activity NT NC CT CC Cost Slope
A 9 12000 6 18000 2000
B 14 14000 4 24000 1000
C 4 2000 3 2400 400
D 6 44000 4 56000 6000
E 14 16000 13 18000 2000
F 6 4000 6 4000 -
G 5 4000 3 4800 400
H 2 12000 1 14000 2000
45

46. Activity NT NC CT CC Cost Slope
A 9 12000 6 18000 2000
B 14 14000 4 24000 1000
C 4 2000 3 2400 400
D 6 44000 4 56000 6000
E 14 16000 13 18000 2000
F 6 4000 6 4000 -
G 5 4000 3 4800 400
H 2 12000 1 14000 2000
46

47. Activity NT NC CT CC Cost Slope
A 9 12000 6 18000 2000
B 14 14000 4 24000 1000
G 5 4000 3 4800 400
H 2 12000 1 14000 2000
47
A – B – G – H = 9 + 14 + 5 + 2 = 30
A – C – D – G – H = 9 + 4 + 6 + 5 + 2 = 26
E – F – H = 14 + 6 + 2 = 22

48. 48
Activity Crashed By Duration DC IC TC
None - 30 108000 60000 168000
G 2 28 108800 56000 164800

49. 49
1
A
2
9
B
5
14
C
4
4
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 14 + 3 + 2 = 28
A – C – D – G – H = 9 + 4 + 6 + 3 + 2 = 24
E – F – H = 14 + 6 + 2 = 22

50. 50
1
A
2
9
B
5
14
C
4
4
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 14 + 3 + 2 = 28
A – C – D – G – H = 9 + 4 + 6 + 3 + 2 = 24
E – F – H = 14 + 6 + 2 = 22

51. Activity Crashing Available Cost Slope
A 3 2000
B 10 1000
G - -
H 1 2000
51
A – B – G – H = 9 + 14 + 3 + 2 = 28
A – C – D – G – H = 9 + 4 + 6 + 3 + 2 = 24
E – F – H = 14 + 6 + 2 = 22

52. 52
Activity Crashed By Duration DC IC TC
None - 30 108000 60000 168000
G 2 28 108800 56000 164800
B 4 24 112800 48000 160800

53. 53
1
A
2
9
B
5
10
C
4
4
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 10 + 3 + 2 = 24
A – C – D – G – H = 9 + 4 + 6 + 3 + 2 = 24
E – F – H = 14 + 6 + 2 = 22

54. 54
1
A
2
9
B
5
10
C
4
4
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 10 + 3 + 2 = 24
A – C – D – G – H = 9 + 4 + 6 + 3 + 2 = 24
E – F – H = 14 + 6 + 2 = 22

55. Activity Crashing Available Cost Slope
A 3 2000
B, C 1 1400
B, D 2 7000
H 1 2000
55
A – B – G – H = 9 + 10 + 3 + 2 = 24
A – C – D – G – H = 9 + 4 + 6 + 3 + 2 = 24
E – F – H = 14 + 6 + 2 = 22

56. 56
Activity Crashed By Duration DC IC TC
None - 30 108000 60000 168000
G 2 28 108800 56000 164800
B 4 24 112800 48000 160800
B, C 1 23 114200 46000 160200

57. 57
1
A
2
9
B
5
9
C
4
3
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 9 + 3 + 2 = 23
A – C – D – G – H = 9 + 3 + 6 + 3 + 2 = 23
E – F – H = 14 + 6 + 2 = 22

58. 58
1
A
2
9
B
5
9
C
4
3
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 9 + 3 + 2 = 23
A – C – D – G – H = 9 + 3 + 6 + 3 + 2 = 23
E – F – H = 14 + 6 + 2 = 22

59. 59
1
A
2
9
B
5
9
C
4
3
D
6
E
3
14
F
6
6
G
3
H
7
2
A – B – G – H = 9 + 9 + 3 + 2 = 23
A – C – D – G – H = 9 + 3 + 6 + 3 + 2 = 23
E – F – H = 14 + 6 + 2 = 22
Activity Crashing Available Cost Slope
A 3 2000
B, D 1 9000
H 1 2000

60. Activity Crashing Available Cost Slope
A, E 1 4000
B, C, E 1 3400
B, D, E 1 9000
H 1 2000
60
A – B – G – H = 7 + 10 + 3 + 2 = 22
A – C – D – G – H = 7 + 4 + 6 + 3 + 2 = 22
E – F – H = 14 + 6 + 2 = 22
1
A
2
7
B
5
10
C
44
D
6
E
3
14
F
6
6
G
3
H
7
2

61. Activity NT NC CT CC Cost Slope
A 9 12000 6 18000 2000
B 14 14000 4 24000 1000
C 4 2000 3 2400 400
D 6 44000 4 56000 6000
E 14 16000 13 18000 2000
F 6 4000 6 4000 -
G 5 4000 3 4800 400
H 2 12000 1 14000 2000
61

62. 62
Activity Crashed By Duration DC IC TC
None - 30 108000 60000 168000
G 2 28 108800 56000 164800
B 4 24 112800 48000 160800
A 2 22 116800 44000 160800
H 1 21 118800 42000 160800

63. 63
1
A
2
7
B
5
10
C
44
D
6
E
3
14
F
6
6
G
3
H
7
1
A – B – G – H = 7 + 10 + 3 + 1 = 21
A – C – D – G – H = 7 + 4 + 6 + 3 + 1 = 21
E – F – H = 14 + 6 + 1 = 21

64. 64
1
A
2
7
B
5
10
C
44
D
6
E
3
14
F
6
6
G
3
H
7
1
A – B – G – H = 7 + 10 + 3 + 1 = 21
A – C – D – G – H = 7 + 4 + 6 + 3 + 1 = 21
E – F – H = 14 + 6 + 1 = 21

65. Activity Crashing Available Cost Slope
A, E 1 4000
B, C, E 1 3400
B, D, E 1 9000
65
A – B – G – H = 7 + 10 + 3 + 1 = 21
A – C – D – G – H = 7 + 4 + 6 + 3 + 1 = 21
E – F – H = 14 + 6 + 1 = 21
1
A
2
7
B
5
10
C
44
D
6
E
3
14
F
6
6
G
3
H
7
1

66. 66
Activity Crashed By Duration DC IC TC
None - 30 108000 60000 168000
G 2 28 108800 56000 164800
B 4 24 112800 48000 160800
A 2 22 116800 44000 160800
H 1 21 118800 42000 160800
B, C, E 1 20 122200 40000 162200

67. 67
1
A
2
7
B
5
9
C
43
D
6
E
3
13
F
6
6
G
3
H
7
1
A – B – G – H = 7 + 9 + 3 + 1 = 20
A – C – D – G – H = 7 + 3 + 6 + 3 + 1 = 20
E – F – H = 13 + 6 + 1 = 20

68. 68
1
A
2
7
B
5
9
C
43
D
6
E
3
13
F
6
6
G
3
H
7
1
A – B – G – H = 7 + 9 + 3 + 1 = 20
A – C – D – G – H = 7 + 3 + 6 + 3 + 1 = 20
E – F – H = 13 + 6 + 1 = 20

69. Activity NT NC CT CC Cost Slope
A 9 12000 6 18000 2000
B 14 14000 4 24000 1000
C 4 2000 3 2400 400
D 6 44000 4 56000 6000
E 14 16000 13 18000 2000
F 6 4000 6 4000 -
G 5 4000 3 4800 400
H 2 12000 1 14000 2000
69

70. Activity Crashing Available Cost Slope
A, E - -
A, F - -
B, C, E - -
B, C, F - -
B, D, E - -
B, D, F - -
G, E - -
G, F - -
H - -
1
A
2
7
B
5
9
C
43
D
6
E
3
13
F
6
6
G
3
H
7
1
A – B – G – H = 7 + 9 + 3 + 1 = 20
A – C – D – G – H = 7 + 3 + 6 + 3 + 1 = 20
E – F – H = 13 + 6 + 1 = 20

71. • Minimum duration: 20 weeks
• Cost: Rs.162200
• Optimum duration: 21-24 weeks
• Optimum cost: Rs.160800
71

72. Activity NT Duration
after
crashing
CT Crashing
still
available
A 9 7 6 1
B 14 9 4 5
C 4 3 3 -
D 6 6 4 2
E 14 13 13 -
F 6 6 6 -
G 5 3 3 -
H 2 1 1 -
72
1
A
2
7
B
5
9
C
43
D
6
E
3
13
F
6
6
G
3
H
7
1

73. Activity NT NC CT CC
1–2 3 3000 2 4000
2–3 3 300 3 300
2–4 7 4200 5 5800
2–5 9 7200 7 8100
3–5 5 2500 4 3000
4–5 0 0 0 0
5–6 6 3200 4 4100
6–7 4 4000 3 4700
6–8 13 7800 10 9000
7–8 10 10000 9 12000
Indirect cost: Rs.500/day 73

74. Activity Predecessor NT NC CT CC
A - 10 20000 7 30000
B - 8 15000 6 20000
C B 5 8000 4 14000
D B 6 11000 4 15000
E B 8 9000 5 15000
F E 5 5000 4 8000
G A, D, C 12 3000 8 4000
Indirect cost: Rs.400/day
74

75. Activity NT CT CC/day
1–2 9 6 20
1–3 8 5 25
1–4 15 10 30
2–4 5 3 10
3–4 10 6 15
4–5 2 1 40
Indirect cost: Rs.60/day
75

76. Activity NT CT CC/day
1–2 6 4 80
1–3 8 4 90
1–4 5 3 30
2–4 3 3 -
2–5 5 3 40
3–6 12 8 200
4–6 8 5 50
5–6 6 6 -
Indirect cost: Rs.160/day 76

77. Activity Duration
1–2 10
1–3 11
2–4 13
2–6 14
3–4 10
4–5 7
4–6 17
5–7 13
6–7 9
7–8 1 77

78. Activity Duration
1–2 2
1–3 2
1–4 1
2–5 4
3–6 5
3–7 8
4–7 3
5–8 1
6–8 4
7–9 5
8–9 3 78

79. Activity Predecessor Duration
(weeks)
A - 3
B - 2
C - 1
D A 1
E A 2
F E 4
G A 1
H G 2
I A 2 79

80. Activity Duration
1–2 4
1–3 3
1–4 6
2–4 4
2–5 8
3–4 4
3–5 4
4–5 6
80

81. Activity Predecessor
A -
B A
C A
D A
E B
F C
G C
H C, D
I E, F
J G, H
K I, J 81

82. Activity Predecessor
A -
B -
C A
D B
E A, C
F B
G C, D
H G, F
I E
J H, I
K J 82

83. Activity Predecessor
A -
B A
C A
D C
E B, C
F D, E
G E
H G
I D, F
J H, I
K J 83

84. ACTIVITY DURATION
1–2 10
2–3 2
2–5 6
3–4 12
3–7 9
4–5 8
4–8 10
4–6 1
5–8 4
6–7 0
7–9 7
8–10 5
9–11 8
10–11 10
84

85. Activity Predecessor Duration
A - 30
B - 7
C A 1
D B, C 14
E D 10
F E 7
G B, C 21
H F 7
I F, G 12
J H, I 15
K B 30
L F, G, K 15 85

86. ACTIVITY DURATION
1–2 20
1–3 25
2–3 10
2–4 12
3–4 6
4–5 10
86

87. ACTIVITY DURATION
1–2 4
1–3 17
2–3 4
2–4 5
3–4 0
3–5 8
4–6 2
5–6 0
5–9 3
6–7 8
7–8 0
7–9 0
8–10 10
9–10 5
87

88. Activity Predecessor Duration
A - 4
B - 7
C - 6
D A, B 5
E A, C 7
F C, D, E 6
G C, D, E 5
88

89. Activity Predecessor Duration
A - 5
B A 7
C B 2
D B 3
E C 1
F D 2
G C 1
H E, F 3
I G, H 10
89

90. Activity Predecessor Duration
A - 3
B - 4
C A 5
D A 6
E C 7
F D 8
G B 9
H E, F, G 3
90

91. Activity Predecessor Duration
A - 9
B - 4
C - 7
D B, C 8
E A 7
F C 5
G E 10
H E 8
I D, F, H 6
J E 9
K I, J 10
L G 2 91

92. Activity Predecessor Duration
A - 6
B - 5
C B 2
D C 2
E A, D 2
F D 1
G A, D 6
H E 5
I G, H 6
J I 2
K G 4
L J, K 3
M L 1 92

93. Activity Predecessor Duration
A - 7
B - 5
C A, B 3
D A, B 8
E C, D 7
F C, D 5
G E 6
H F, G 9
93

94. Activity Predecessor Duration
A - 3
B - 4
C - 2
D A, B 5
E B 1
F B 3
G F, C 6
H B 4
I E, H 4
J E, H 2
K C, D, F, J 1
L K 5 94

95. Activity Predecessor Duration
A - 4
B - 3
C - 3
D C 2
E A, B, D 1
F A, B, D 2
G E, F 3
H A, B, D 3
I H 5
J G 2
K G 4
L I, J, K 2 95

96. Activity Predecessor Duration
A - 3
B A 2
C A 6
D A 3
E C, D 7
F D 4
G E 3
H G 25
I F, H 10
J B, I 20 96

97. ACTIVITY PREDECESSOR DURATION
A - 1
B A 1
C B 3
D C 3
E B 3
F B 8
G E 2
H G 4
I P 1
J F 0
K D, J, H, I, T 3
L K 7
M S 2
N M 4
O N 5
P O 1
Q K 2
R Q 3
S B 2
T S 3
97

98. A professional institute is contemplating of organising a seminar on ‘New Accounting Techniques’ at Delhi. The
seminar will include 2 keynote speeches and 8 paper reading sessions. It is considered that the following activities
are to be accomplished with the respective duration times as specified in the table:
ITEM ACTIVITY SPECIFICATION DURATION
1 Decide date & venue of seminar 4
2 Prepare a draft circular with seminar details 7
3 Get approval of the circular from Chairman of Seminar Committee 8
4 Prepare names & addresses of persons & organisations to whom information is to be sent 7
5 Get the draft circular & technical paper call printed in a brochure 15
6 Send the brochure to all persons and organisations 3
7 Select the 2 keynote speakers & get their consent 10
8 Select the chairmen of different sessions & get their consent 10
9 Receive the full text of papers 30
10 Scrutinise & select papers for the seminar 6
11 Inform authors about acceptance/rejection of papers 3
12 Fix-up rapporteurs for the sessions 7
13 Print detailed seminar programme & send it to all concerned 10
14 Arrange accommodation & meal for delegates 7
15 Arrange transport 3
16 Arrange lecture halls & other facilities required for holding the seminar 2
17 Get the registration from delegates 30
18 Print keynote speeches & discussion sheets 5
19 Release the seminar news to print & electronic media 2
20 Arrange for inauguration of the seminar 1

99. Activity a m b
1–2 3 5 7
1–3 8 10 12
2–4 4 10 16
3–4 1 2 3
4–5 1 1 7
99

100. Activity b m a
1–2 21 7.5 3
1–3 27 8 3
2–4 8 8 8
2–5 3.5 2 0.5
3–5 10 10 10
4–5 1.7 1 0.3
4–6 9 7.5 3
5–6 5 3 1
100

101. Activity Predecessor m a b
A - 3 1 7
B A 6 2 14
C A 3 3 3
D B, C 10 4 22
E B 7 3 15
F D, E 5 2 14
G D 4 4 4
101

102. Activity Predecessor a m b
A - 1 3 5
B - 2 4 6
C A 3 5 7
D A 5 6 7
E C 5 7 9
F D 6 8 10
G B 7 9 11
H E, F, G 2 3 4
102

103. Pg16.83
Q16.30
103

104. 104

105. 105

106. Activity Predecessor Duration
A - 9
B A 4
C A 2
D - 4
E G 1
F B 5
G C, D 10
H B, I 3
I E 6
J H 7 106

107. 2
A
9
107
1 3
B
4
9
F
5
7 8
H
3
J
7
4
D
4
C
2
5
G
10
6
E
1
I
6