$3-$ Identify the critical path using CPM method and find the duration of the project with following activities:

Note: calculate the total float and free float

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

$\backslash$hline Act. & Depend On & Duration & Logic Relations & Lag $\backslash \backslash$

$\backslash$hline A & $--$ & $4$ & & $---\backslash \backslash$

$\backslash$hline B & A & $5$ & FTS & $---\backslash \backslash$

$\backslash$hline C & A & $6$ & FTS & $--\backslash \backslash$

$\backslash$hline D & B & $3$ & FTS & $+3\backslash \backslash$

$\backslash$hline E & B & $8$ & FTS & $---\backslash \backslash$

$\backslash$hline F & C & $3$ & FTS & $+2\backslash \backslash$

$\backslash$hline G & D & $6$ & STF & $+10\backslash \backslash$

$\backslash$hline H & F & $\backslash (\backslash$mathbf$\{7\}\backslash )$ & STS & $+4\backslash \backslash$

$\backslash$hline H & F & $7$ & FTF & $+8\backslash \backslash$

$\backslash$hline I & G & $9$ & FTS & $--\backslash \backslash$

$\backslash$hline J & H & $9$ & FTS & $-\backslash \backslash$

$\backslash$hline

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