The project team has gathered information necessary to develop a project network: predecessor activities and activity time in days. The results of their meeting are found in the following table:

$\backslash$table$[[$Activity$,$Description,Duration,Predecessor$],[1,$Project Start Node,$0,],[2,$Design,$10,1],[3,$Procure prototype parts,$2,2$SS$+6],[4,$Fabricate parts,$8,2$FS$-1],[5,$Assemble prototype,$4,\backslash$table$[[$FS $+8,],[4]]],[6,$Laboratory test,$7,5$SS$+1],[7,$Field test,$10,\backslash$table$[[5,],[6$FS$-1]]],[8,$Adjust design,$6,7$SS$+7],[9,$Order stock components,$2,\backslash$table$[[7,],[8$FS$-1]]],[10,$Order custom components,$2,\backslash$table$[[7,],[8$SS$+5]]],[11,\backslash$table$[[$Assemble test production$],[$unit$]],10,\backslash$table$[[9$FS$+8,],[10$FS$+13]]],[12,$Test unit,$5,11$FS$-1],[13,$Document results,$3,12$FF$+1],[14,$Project Finish Node,$0,13]]$

Based on the above table:

Prepare a project network diagram.

Indicate free float and total float for each activity.

Calculate and identify the critical path.

Determine the project duration.

Prepare a Gantt chart showing the project schedule $($assume a start date of Jan $2,2008)$