$3.$ Assume Iowa State University selected a vendor to provide a new IT system. That vendor provided the following plan for the new IT system. Please $($A$)$ Draw the network diagram for the project, $($B$)$ identify which activities are on the critical path, and $($C$)$ provide the overall duration of the project. The activities, durations, and ordering are described below:

$($A$)$ Network Diagram: $[$Provided in a graphical format.$]$

$($B$)$ Critical Path: Project Kickoff $->$ Requirements Collection $->$ Design Processes $->$ Complete User Interface $->$ Bug Testing and Quality Control $->$ Write User Guide $->$ Conduct User Trainings.

$($C$)$ Overall Duration: $24$ weeks.

Activity Duration Ordering

Project Kickoff $1$ week Occurs first

Requirements Collection $3$ weeks Project Kickoff must have occurred

Design Processes $5$ weeks Requirements must be collected

Design Reports $4$ weeks Requirements must be collected

Complete User Interface $6$ weeks Processes and Reports must be designed

Bug Testing and Quality Control $5$ weeks User interface must be complete

Write User guide $1$ week Bug Testing and Quality Control must be complete

Conduct User Trainings $4$ weeks User guide must be complete

Installation $4$ weeks Bug Testing and Quality control must be complete