Homework Assignment Seven

Project Management

Each question is worth one point.

PERT Network Diagram 1 illustrates ten interrelated activities that comprise a certain project.

PERT Network Diagram 1

The information presented in Table 1 represents the optimistic activity time (a), most probable activity time (m), and pessimistic activity time (b) in weeks for each activity associated with the project.

Table 1

1. What is the expected activity time (t) in weeks for each activity? Enter this information in the appropriate data field provided for each activity in PERT Network Diagram 2 below for use later in this assignment.
   PERT Network Diagram 2
   
2. What is the variance for the expected activity time for each activity? Enter this information in Table 2 below for use later in this assignment.
   Table 2

   Activity	Variance
   A
   B
   C
   D
   E
   F
   G
   H
   I
   J

3. What is the expected total activity time in weeks for each of the five separate paths through the network?
4. What is the critical path for the network and associated overall project completion time in weeks?
5. What is the project variance (i.e., the variance for the critical path)?
6. What is the project standard deviation (i.e., the standard deviation for the critical path)?
7. What is the probability of the critical path activities being completed in less than or equal to 20 weeks?
8. What is the Earliest Start, Earliest Finish, Latest Start and Latest Finish times for each activity? Record this information in Table 3 below for use later in this assignment.
   Table 3

   Activity	Earliest Start	Earliest Finish	Latest Start	Latest Finish	Slack Time
   A
   B
   C
   D
   E
   F
   G
   H
   I
   J

9. What is the slack time in weeks for each activity? Record this information in Table 3 also.
   Table 6 represents the estimated crash time in weeks and associated total crash cost for each activity.
   Table 6

   Activity	Crash Time (Weeks)	Total Crash Cost
   A	2	$24,000
   B	2	$37,000
   C	3	$27,000
   D	1	$15,000
   E	4	$9,500
   F	2	$12,000
   G	3	$13,000
   H	2	$14,500
   I	3	$29,000
   J	3	$19,000

10. If you crash the network in order to reduce the expected project duration to 20 weeks, while minimizing the overall crash cost, which activities on the critical path would be the most logical choices for crashing and why?
11. What is the minimum total crash cost associated with crashing the network to reduce the expected project duration to 20 weeks?
12. After successfully crashing the network to reduce the expected project duration to 20 weeks, which path through the crashed network would constitute the critical path?

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Solution: The downloadable solution consists of 8 pages, 738 words and 6 charts.
Deliverable: Word Document