Laura Thompson needs to plan and manage a local construction project. The following table describes the relationships between the activities that need to be completed:

ACTIVITY Day A Day M Day B Immediate Predecessors
A 4 8 13
B 4 10 15 A
C 7 14 20 B
D 9 16 19 B
E 6 9 11 B
F 2 4 5 D,E
G 4 7 11 C,F
H 3 5 9 G
I 2 3 4 G,H

A.) Determine the expected times and variances for each activity.
B.) Construct a project network for this problem
C.) Determine the EST,EFT,LST,LFT, and slack for each activity. Also determine the critical path and project completion time.
D.) What is the probability that the project will be finished in less than 57 days.
E.) What is the probability that the project will need at least 50 days?

Assume you are going to manage a large construction project involving many subcontractors. Why use PERT or CPM to plan the project rather than just logically scheduling the subcontractors?

Please refer to the network activity times shown in days.
a) Find the critical path
b) If the project is shorted by four days, show which activities, in order of reduction, would be shortened and the resulting cost.

A project was planned using PERT with three times estimates. The expected completion time of the project was determined to br 40 weeks. The variance of the critical path is 9.
A What is the probability that the project will be finished in 40 weeks or less?
B. What is the probability that the project takes longer than 40 we

1. Develop a network drawing for Hill Construction & determine the critical path. How long is the project expected to take?
2. What is the probability of finishing in 270 days?
3. If it's necessary to crash to 250 or 240 days, how would Hill do so, and at what costs? As noted in the case, assume that optimistic time estimates

The pertproblem shows the estimated time for the critical path to be 108 days with a variance of 64. There is a .90 probability that the project will be completed before?
1. 118
2. 115
3. 109
4. 108
5. 98

Determine the following:
a. Expected activity times
b. Earliest start and finish times
c. Latest start and finish times
d. Activity Slack
e. Critical Path
Expected Project duration and standard deviation.
(See attached file for full problem)

1) Organizers for a political convention have determined ten activities that must be done before the convention begins.
Activity Immediate Predecessors Time (Weeks)
A --- 10
B A 4
C B 2
D B 2
E

Here is a CPM network with activity times noted in weeks:
G(3)
E(4)
B(5)
A(7)
F(8)
C(6)
D(6)
a. Determine the critical path.
b. How many weeks will the project take to complete?
c. Suppose F could be shortened by two weeks and B by one week. How would this affect the
completion date?