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Finding the Critical Path in a Problem

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According to the data in the table, what is the critical path?

Activity | Immediate Predecessor | Optimistic Time | Most Likely Time | Pessimistic Time
A - 2 8 14
B - 8 8 8
C A 9 9 18
D B 11 11 17

A, B
A, C
B, D
A, B, C, D
none of the above

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Solution Preview

Please refer attached file for better clarity of table and diagram.

Activity Analysis for Project Problem

Activity On Critical Activity Earliest Earliest Latest Latest Slack
Name ...

Solution Summary

Solution determines the critical path in the given case using a table and diagram along with brief explanation to aid understanding.

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Determining the Critical Path: Example Problem

Determine critical path and also need help in finding how to reduce the project time by a number of weeks.

Activity Immediate Predecessor Time (in weeks)
A none 4
B A 2
C A 4
D A 3
E B,C 5
F C 6
G D 2
H E 3
I F,G 5
J H,I 7

1. Draw the network diagram.
2. Find the critical path.
3. If activities A and J can't be shortened, yet activities B through I can be shortened to a minimum of one week at a price of $10,000 per week, which activities would you shorten to cut the project by four weeks?

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