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Listing critical paths and durations

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An important client of RoboTech has asked for a redesign and redevelopment of one of RoboTech's industrial
robots. The client wants to see a demonstration, a technical proposal and a cost proposal as soon as possible. The project team at RoboTech has identified the tasks involved as indicated in the table below. The activities and their predecessors are listed as follows:

Activity Description of the activity Predecessor Duration (days)
A designing the robot - 20
B Building the prototype A 10
C testing the prototype B 8
D estimating the material costs A 11
E refining the design C,D 7
F demonstration E 6
G estimating labor D 12
H preparing the technical proposal E 13
I submission of the proposal G,H 5

List all the paths and their durations.
Identify the critical path(s) (by inspection).
Determine the critical path(s) using early start, early finish, late start and late finish times. Also identify all the critical and non-critical activities.

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Solution Preview

Please see the attached sheet for the full answer.

TOPIC: PROJECT MANAGEMENT
Q1.1: An important client of RoboTech has asked for a redesign and redevelopment of one of RoboTech's industrial
robots. The client wants to see a demonstration, a technical proposal and a cost proposal as soon as possible. The
project team at RoboTech has identified the tasks involved as indicated in the table below. The activities and their
predecessors are listed as follows:

Activity Description of the activity Predecessor Duration (days)
A designing the robot - 20
B Building the prototype A 10
C testing the prototype B 8
D estimating the material costs A 11
E refining the design C,D 7
F demonstration ...

Solution Summary

This is a project management problem. Given activities and durations, the question will ask you to lost the critical paths and non-critical activities.

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Project Management / Critical Path

Given the data in the attached Excel 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 15 weeks
b. More than 18 weeks
c. Between 11 and 22 weeks
6. Explain in details how/what/why you did what you did in this exercise and list the solutions which you have came up with. In other words, provide a written summary of this exercise so that I understand exactly how you did it.

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