Q$3.$ A project team is in the process of performing the tasks shown in Table

Table $1.$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Task & $\backslash$begin$\{$tabular$\}\{$c$\}$

Immediate $\backslash \backslash$

Predecessor$($s$)$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Time $\backslash \backslash$

$($in days$)$

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline a & $-$ & $3\backslash \backslash$

$\backslash$hline b & a & $5\backslash \backslash$

$\backslash$hline c & a & $1\backslash \backslash$

$\backslash$hline d & b$,$ c & $4\backslash \backslash$

$\backslash$hline e & b & $3\backslash \backslash$

$\backslash$hline f & e$,$ d & $3\backslash \backslash$

$\backslash$hline g & f & $2\backslash \backslash$

$\backslash$hline h & e$,$ d & $4\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

a$)$ Draw the AON and AOA diagrams.

b$)$ Find the critical path$($s$)$ and the completion time of the project.

c$)$ Determine the total slack and free slack for each activity.