A software company has a contract to upgrade the graphical part of the software $($project called Software Graphics $2024)$ for a major energy company, Z$.$ The project manager has determined that based on the scope of the work, the work may be broken down into several steps. The steps are as follows: Have a kick off meeting with the key vendor $($software supplier$)$ personnel and key $Z$ employees to agree on scope and requirements; Define and agree on requirements. Once that is done the software team will assign persons to work on the software; redesign the software; build the software; internally test the software; then release the software. To complete the building of the software, the graphics must be designed. Company $Z$ will assign a training team and then train on the expected redesigned software. Once the software is released, it is then tested by company $Z$ and then integrated in the system of company Z$.[25]$

$\backslash$table$[[$Activity ID$,$Activity,$\backslash$table$[[$Finish$-$Start$],[$Predecessors$]],$Duration$],[,,,],[$A$,$Kick off meeting,None,$8],[$B$,$Define requirements,A$,12],[$C$,$Design graphics,A$,32],[$D$,$Assign software team,B$,8],[$E$,$Redesign software,C$,$ D$,40],[$F$,$Build the software,E$,32],[$G$,$Vendor Internal test,F$,16],[$H$,$Assign training team,B$,8],[$I$,$Train on redesign,H$,32],[$J$,$Release software,G$,8],[$K$,$Customer Test,I, J$,8],[$L$,$Integrated systems,K$,16]]$

I. Draw an activity on node $($AON$)$ network diagram for the project. $[9]$

II$.$ Determine early start times, early finish times, late start times and late finish times for each activity. $[8]$

III. Determine free slack. $[4]$

IV$.$ Determine the duration of the project and identify the critical path. $[4]$