Part I. In the Module material, project management techniques were discussed. Specifically, the six steps of the PERT/CPM technique were applied. In this work the student will solve a hypothetical problem by applying the mentioned technique. ACTIVITY OPTIMISTIC a MOST PROBABLE m PESSIMISTIC b A 8 10 12 ------ B 6 7 9 ----- C 3 3 4 ----- D 10 20 30 A E 6 7 8 C F 9 10 11 B, D, E G 6 7 10 B, D, E H 14 15 16 F I 10 11 13 F J 6 7 8 G, H K 4 7 8 I, J L 1 2 4 G, H Instructions 1. Using the six steps of PERT/CPM model a critical path in an industry in the chemical sector. The following table summarizes the data required for the first four steps of the technique. 2. Using the data in the Table: a. Construct a network for this problem. b. Determine the expected time and variance for each activity. c. Calculate IC, TC, IL, TL and slack for each activity. d. Determine the critical path and completion time for the project. e. Determine the probability that the project will be completed in 70 days or less. f. Determine the probability that the project will be completed in 80 days or less. ACTIVITY OPTIMISTIC a MOST PROBABLE m PESSIMISTIC bimmediate Predecessor A 8 10 12 ------ B 6 7 9 ----- C 3 3 4 ----- D 10 20 30 A E 6 7 8 C F 9 10 11 B, D, E G 6 7 10 B, D, E H 14 15 16 F I 10 11 13 F J 6 7 8 G, H K 4 7 8 I, J L 1 2 4 G, H.

1. Part I. In the Module material, project management techniques were discussed. Specifically, the
six steps of the PERT/CPM technique were applied. In this work the student will solve a
hypothetical problem by applying the mentioned technique.
ACTIVITY
OPTIMISTIC
a
MOST PROBABLE
m
PESSIMISTIC
b
A
8
10
12
------
B
6
7
9
-----
C
3
3
4
-----
D
10
20
30
A
E
6
7
8
C

2. F
9
10
11
B, D, E
G
6
7
10
B, D, E
H
14
15
16
F
I
10
11
13
F
J
6
7
8
G, H
K
4
7
8
I, J
L
1
2
4
G, H
Instructions

3. 1. Using the six steps of PERT/CPM model a critical path in an industry in the chemical sector.
The following table summarizes the data required for the first four steps of the technique.
2. Using the data in the Table:
a. Construct a network for this problem.
b. Determine the expected time and variance for each activity.
c. Calculate IC, TC, IL, TL and slack for each activity.
d. Determine the critical path and completion time for the project.
e. Determine the probability that the project will be completed in 70 days or less.
f. Determine the probability that the project will be completed in 80 days or less.
ACTIVITY
OPTIMISTIC
a
MOST PROBABLE
m
PESSIMISTIC
bimmediate Predecessor
A
8
10
12
------
B
6
7
9
-----
C
3
3
4
-----
D
10
20
30
A

4. E
6
7
8
C
F
9
10
11
B, D, E
G
6
7
10
B, D, E
H
14
15
16
F
I
10
11
13
F
J
6
7
8
G, H
K
4
7
8
I, J
L

5. 1
2
4
G, H