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# Project network & critical path

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Note: If you can include a graph of the PERT or CPM, then please do.
9. Tulsa Parks is planning to develop a new park and recreational area on a recently purchased 100-acre tract. Project development activities include clearing playground & picnic areas, constructing roads, constructing a shelter home, purchasing picnic equipment, & etc. The following network & activity times (in weeks) are being used in the planning, scheduling, & controlling this project.

Activity A B C D E F G H I
Activity Time 9 6 6 3 0 3 2 6 3
a. What is the critical path for this network?
b. Show activity schedule for this project.
c. The commissioner would like to open the park to the public within 6 months from the time the work on the project is started. Does this opening date appear to be feasible? Explain
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#### Solution Summary

This solution develops a critical path for a project for Tusla Parks.

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## Project Management: Network Diagrams, Critical Paths & Completion Probability

9. The following table represents a plan for a project:

JOB NO., PREDECESSOR JOB(S), TIMES (DAYS) a m b
1 - 2 3 4
2 1 1 2 3
3 1 4 5 12
4 1 3 4 11
5 2 1 3 5
6 3 1 2 3
7 4 1 8 9
8 5, 6 2 4 6
9 8 2 4 12
10 7 3 4 5
11 9, 10 5 7 8

a. Construct the appropriate network diagram.
b. Indicate the critical path.
c. What is the expected completion time for the project?
e. What is the probability that the project will take more than 30 days to complete?

10. A project has an expected duration of 34 weeks with a critical path variance of 6. What is the
probability the project can be completed in 32 weeks or less?

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