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Quantitative analysis: PERT/CPM

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The following information is known about a project...
Activity Immediate Predecessor(s) Activity Time (days)
A - 7
B A 2
C A 4
D B, C 4
E D 4
F E 3
G E 5

a. Draw the network diagram for this project.

b. Determine the critical path and project duration.

c. Calculate the slack for each activity.

d. Estimate the probability that the noncritical path B-F-G will take more than 20 weeks. Hint: Subtract from 1.0 that probability that B-F-G will take more than 20 weeks or less.

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Solution Summary

The problem deals with determining the critical path, of a project and also drawing the network diagram.

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See Also This Related BrainMass Solution

Quantitative Analysis: PERT/CPM Analysis

A construction project is broken down into the following 10 activities:

Activity Immediate Predecessor Time (Weeks)
1 -- 4
2 1 2
3 1 4
4 1 3
5 2, 3 5
6 3 6
7 4 2
8 5 3
9 6, 7 5
10 8, 9 7

a. Find the critical path.

b. If activities 1 and 10 can't be shortened, but activities 2 through 9 can be shortened to a minimum of one
week each at a cost $10,000 per week, which activities would you shorten to cut the project by four weeks?

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