Using the Activity$-$on$-$Arrow $($AOA$)$ network diagram of Project X in Figure Q$1,$ and Table Q$1$ below, answer part $($a$)$ to part $($g$).$

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

$\backslash$hline $\backslash$multicolumn$\{1\}\{|$c$|\}\{$ Project $\text{'}$X$\text{'}\}$ & $\backslash$multicolumn$\{2\}\{$c$|\}\{$ Time $($Weeks$)\}$ & $\backslash$multicolumn$\{2\}\{$c$|\}\{$ Cost $(\backslash$$$)\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Crashing $\backslash \backslash$

$(\backslash$$ per Week$)$

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

On Critical $\backslash \backslash$

Path? $($Y$/$N$)$

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

$\backslash$hline Activity & Normal & Crash & Normal & Crash & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline $\backslash$hline A $(1-2)$ & $8$ & $5$ & $24,000$ & $30,000$ & $\backslash (?\backslash )$ & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline B $(1-3)$ & $8$ & $6$ & $30,000$ & $35,000$ & $\backslash (?\backslash )$ & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline C $(1-4)$ & $8$ & $7$ & $14,000$ & $14,500$ & $\backslash (?\backslash )$ & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline D $(2-5)$ & $6$ & $5$ & $16,000$ & $17,500$ & $\backslash (?\backslash )$ & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline E $(3-5)$ & $4$ & $3$ & $10,000$ & $11,750$ & $\backslash (?\backslash )$ & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline F $(4-6)$ & $8$ & $6$ & $30,000$ & $32,000$ & $\backslash (?\backslash )$ & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline G $\backslash ((5-6)\backslash )$ & $4$ & $---$ & $20,000$ & $---$ & & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline H $\backslash ((6-7)\backslash )$ & $2$ & $---$ & $18,000$ & $---$ & & $\backslash (?\backslash )\backslash \backslash$

$\backslash$hline $\backslash$hline

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

Table O$1($a$)$ Determine the critical path of Project $\text{'}$ X $\text{'}$ under "Normal" circumstances.

$(3$ marks$)$

$($b$)$ What is the primary objective of "crashing" in critical path method?

$($c$)$ How will "crashing" the project impact the project cost?

$($d$)$ Complete the column identified as "crashing cost per week" and $"$On Critical Path? $($Yes$/$No$)"$ in the above Table.

$(10$ marks$)$

$($e$)$ What is the minimum additional cost if management wants $\text{'}$ X $\text{'}$ to be completed in $19$ weeks?

$(1$ mark$)$

$($f$)$ What is the minimum additional cost if management wants $\text{'}$ X $\text{'}$ to be completed in $18$ weeks?

$($g$)$ What is the minimum additional cost if management wants $\text{'}$ X $\text{'}$ to be completed in $17$ weeks?