$1.(15$ points$)$ Find the least$-$cost schedule for the network shown below using simple compression. Present your calculations using the template used in class.

Overhead costs $\backslash (=\backslash$$ $60,000/\backslash )$ week

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

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

Normal $\backslash \backslash$

Duration $\backslash \backslash$

$($weeks$)$

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

Crash Duration $\backslash \backslash$

$($weeks$)$

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

Normal Cost $\backslash \backslash$

$($x $\backslash$$$1,000)$

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

Crash Cost $\backslash \backslash$

$($x $\backslash$$$1,000)$

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

$\backslash$hline A & $6$ & $3$ & $300$ & $360\backslash \backslash$

$\backslash$hline B & $6$ & $4$ & $450$ & $500\backslash \backslash$

$\backslash$hline C & $6$ & $2$ & $360$ & $420\backslash \backslash$

$\backslash$hline D & $4$ & $3$ & $600$ & $675\backslash \backslash$

$\backslash$hline E & $3$ & $2$ & $325$ & $350\backslash \backslash$

$\backslash$hline F & $2$ & $1$ & $250$ & $285\backslash \backslash$

$\backslash$hline G & $2$ & $1$ & $310$ & $350\backslash \backslash$

$\backslash$hline

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