Problem $3(10$ points$)$

Show the optimum crashing sequence for the following project by completing the table on the following page. Note: Determine the lowest cost crashing recommendation to reduce the duration by one week at a time$).\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|\}$

$\backslash$hline Project duration $($weeks$)$ & What activity was crashed? & What is the additional cost? $\backslash \backslash$

$\backslash$hline X $($What is X$?)$ & None & $\backslash (\backslash$$ $0\backslash )\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathrm$\{$X$\}-1\backslash )$ & & $\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathrm$\{$X$\}-2\backslash )$ & & $\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathrm$\{$X$\}-3\backslash )$ & & $\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathrm$\{$X$\}-4\backslash )$ & & $\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathrm$\{$X$\}-5\backslash )$ & & $\backslash \backslash$

$\backslash$hline

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