$9\mathrm{.}27.$ The following table provides the information necessary to construct a project network and project crash data:

$\backslash$begin$\{$tabular$\}\{$cccccc$\}$

$\backslash$hline & $\backslash$multirow$\{2\}\{*\}\{\backslash$begin$\{$tabular$\}\{$c$\}$

Activity

$\backslash$end$\{$tabular$\}\}$ & $\backslash$multicolumn$\{2\}\{$c$\}\{$ Activity Time $($Weeks$)\}$ & $\backslash$multicolumn$\{2\}\{$c$\}\{$ Activity Cost $(\backslash$$$)\}\backslash \backslash$

$\backslash$cline $\{3-6\}$ Activity & Predecessor & Normal & Crash & Normal & Crash $\backslash \backslash$

$\backslash$hline $1$ & $-$ & $20$ & $8$ & $1,000$ & $1,480\backslash \backslash$

$\backslash$hline $2$ & $-$ & $24$ & $20$ & $1,200$ & $1,400\backslash \backslash$

$\backslash$hline $3$ & $-$ & $14$ & $7$ & $700$ & $1,190\backslash \backslash$

$\backslash$hline $4$ & $1$ & $10$ & $6$ & $500$ & $820\backslash \backslash$

$\backslash$hline $5$ & $3$ & $11$ & $5$ & $550$ & $730\backslash \backslash$

$\backslash$hline

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

a$.$ Construct the project network.

b$.$ Determine the maximum possible crash time for the network, and crash the network the maximum amount possible.

c$.$ Compute the normal project cost and the cost of the crashed project.