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# PERT network

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Given the following table:
1. Draw the network diagram
2. Determine the critical path
3. Calculate the expected duration and variance for each acitivity
4. Calculate the expected duration and variance of the critical path
5. Find the probability of completing the project in:
a. Less than 22 weeks
b. More than 25 weeks
c. Between 23 and 28 weeks

Time Estimates (weeks)
Activity Immediate Predecessors Optimistic Most Likely Pessimistic
A - 5 11 14
B - 3 3 9
C - 6 10 14
D A,B 3 5 7
E B 4 6 11
F C 6 8 13
G D,E 2 4 6
H F,G 3 3 9

#### Solution Preview

Project Management (25%)

Given the following table:
1. Draw the network diagram
2. Determine the critical path
3. Calculate the expected duration and variance for each acitivity
4. Calculate the expected duration and variance of the critical path
5. Find the probability of completing the project in:
a. Less than 22 weeks
b. More than 25 weeks
c. Between 23 and 28 weeks

Time Estimates (weeks)
Activity Immediate Predecessors Optimistic Most Likely Pessimistic
A - 5 11 14
B - 3 3 9
C - 6 10 14
D A,B 3 5 7
E B 4 6 11
F C 6 8 13
G D,E 2 4 6
H F,G 3 3 9

1. Draw the network diagram

D G H Finish

A
E

Start B
F

C

2. Determine the critical path

The expected times are calculated in part c below
Critical path consists of those activities whose slack is zero
Earliest Start Time
Latest Start ...

#### Solution Summary

Draws the network diagram, determine the critical path and finds the probability of completing the project before a specified period.

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