5) The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.
a) Draw the precedence diagram for this network.
b) Identify the critical path and the expected project completion time.
c) Calculate the expected slack time for each activity. Also compute the slack time for each path relative to the critical path completion time.
d) What is the probability that the critical path will be completed in more than 65 days?
e) How many days should the marketing manager allow for completion of the critical path if he wants to be 99% sure that the critical path will be completed within this allowed time?
|
Activity
|
Description
|
Immediate Predecessors
|
Optimistic Time
|
Most Likely Time
|
Pessimistic Time
|
|
A
|
Rough brochure layout
|
--
|
2
|
3
|
5
|
|
B
|
Review brochure
|
A
|
6
|
8
|
10
|
|
C
|
Final brochure layout
|
B
|
4
|
6
|
8
|
|
D
|
Final brochure artwork
|
C
|
5
|
7
|
11
|
|
E
|
Design display
|
--
|
12
|
15
|
20
|
|
F
|
Rough display artwork
|
E
|
2
|
3
|
4
|
|
G
|
Review display
|
E
|
6
|
8
|
10
|
|
H
|
Revise display
|
G
|
2
|
3
|
4
|
|
I
|
Final display artwork
|
F,H
|
1
|
2
|
4
|
|
J
|
Make display plates
|
I
|
18
|
23
|
26
|
|
K
|
Make brochure plates
|
D,I
|
10
|
13
|
16
|
|
L
|
Make and ship displays
|
J
|
7
|
10
|
14
|
|
M
|
Print and ship brochures
|
K
|
6
|
8
|
10
|