Problem 13-19 (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	3	4	5
B	3	3.5	7
C	4	5	6
D	2	3	4
E	6	10	14
F	7.5	8.5	12.5
G	4.5	6	7.5
H	5	6	13
I	2	2.5	6
J	4	5	6

Develop an activity schedule for this project and identify the critical activities. If required, round your answers to two decimal places.

Activity	Expected Time	Variance	Critical Activity
A			No
B			Yes
C			No
D			No
E			Yes
F			No
G			No
H			Yes
I			No
J			Yes

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? If required, round your answers to two decimal places. P(25 weeks) = P(30 weeks) =