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:

Activity Description Duration Predecessor

$1$ Project Start Node $0$

$2$ Design $101$

$3$ Procure prototype parts $22$ SS$+6$

$4$ Fabricate parts $82$ FS$-1$

$5$ Assemble prototype $43$ FS$+8,$

$4$

$6$ Laboratory test $75$ SS$+1$

$7$ Field test $105,$

$6$ FS$-1$

$8$ Adjust design $67$ SS$+7$

$9$ Order stock components $27,$

$8$ FS$-1$

$10$ Order custom components $27,$

$8$ SS$+5$

$11$ Assemble test production unit $109$ FS$+8,$

$10$ FS$+13$

$12$ Test unit $511$ FS$-1$

$13$ Document results $312$ FF$+1$

$14$ Project Finish Node $013$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:

Activity Description Duration Predecessor

$1$ Project Start Node $0$

$2$ Design $101$

$3$ Procure prototype parts $22$ SS$+6$

$4$ Fabricate parts $82$ FS$-1$

$5$ Assemble prototype $43$ FS$+8,$

$4$

$6$ Laboratory test $75$ SS$+1$

$7$ Field test $105,$

$6$ FS$-1$

$8$ Adjust design $67$ SS$+7$

$9$ Order stock components $27,$

$8$ FS$-1$

$10$ Order custom components $27,$

$8$ SS$+5$

$11$ Assemble test production unit $109$ FS$+8,$

$10$ FS$+13$

$12$ Test unit $511$ FS$-1$

$13$ Document results $312$ FF$+1$

$14$ Project Finish Node $013$

Based on the above table:

$1.$ Prepare a project network diagram.

$2.$ Indicate free float and total float for each activity.

$3.$ Calculate and identify the critical path.

$4.$ Determine the project duration.

$5.$ Prepare a Gantt chart showing the project schedule $($assume a start date of Jan $2,2008)$