Problem 9-19 (Algorithmic)

The product development group at Landon Corporation has been working on a new computer software product that has the potential to capture a large market share. Through outside sources, Landon's management learned that a competitor is working to introduce a similar product. As a result, Landon's top management increased its pressure on the product development group. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market. The project network is as follows:

The activity time estimates (in weeks) are as follows:

Activity		Optimistic		Most Probable		Pessimistic
A		2.0		4.0		6.0
B		4.0		4.5		8.0
C		3.0		5.0		7.0
D		1.0		3.0		5.0
E		6.0		11.0		16.0
F		6.5		8.5		13.5
G		3.5		6.0		8.5
H		4.0		6.0		14.0
I		1.0		2.5		7.0
J		4.0		5.0		6.0

1. Develop an activity schedule for this project and identify the critical path activities. If required, round your answers to two decimal places. If your answer is zero enter 0.

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

   Earliest

   Latest

   Earliest

   Latest

   Critical

   Activity

   Start

   Start

   Finish

   Finish

   Slack

   Activity

   A

   No

   B

   Yes

   C

   No

   D

   No

   E

   Yes

   F

   No

   G

   No

   H

   Yes

   I

   No

   J

   Yes

   Critical Path: B-E-H-J
2. What is the probability that the project will be completed so that Landon Corporation may introduce the new product within 25 weeks? Within 30 weeks? Expected project completion time = weeks. If required, round your answer to two decimal places. . If required, round your answer to two decimal places. P(25 weeks) = . If required, round your answer to four decimal places. P(30 weeks) = . If required, round your answer to four decimal places.