Problem: A project is characterized by activities A through F. The predecessor activities and the times required, and costs for both a regular and crash program for each activity are shown in the attached table.
a) Using only the time for the regular program activities, draw a PERT network for this problem. What is the critical path? How long will it take to complete the total project?
I believe the critical path is A, B, E and it will take 9 days to complete the project but I am not sure this is correct.
b) What is the cost of the project as given in a. (I believe the cost is $32,000)
c) Find the time-cost trade-off points that are possible. What is the minimum time in which the project can be completed? What is the cost of this program?
|
Activity
|
Predecessor Activities
|
Time/Weeks
Regular
|
Crash
|
Cost (000's)
Reg.
|
Cost (000's)
Crash
|
|
A
|
None
|
0
|
-
|
0
|
-
|
|
B
|
A
|
5
|
3
|
10
|
22
|
|
C
|
A
|
2
|
1
|
6
|
15
|
|
D
|
B, C
|
3
|
2
|
6
|
15
|
|
E
|
B
|
4
|
2
|
10
|
25
|
|
F (finish)
|
D, E
|
0
|
-
|
0
|
-
|