You are the project manager for a Greg Builder Homes construction project. Based on customer feedback, you need to reduce the duration of the project. Hereunder is a table showing all relevant project information necessary to look at options to crash the project. You also have calculated the normal indirect costs of the project to be $\backslash (\backslash$$ $275$ k $\backslash ),$ which could be reduced by $\backslash (\backslash$$ $15$ k $\backslash )$ for each month reduction in project duration.

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

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

Normal $\backslash \backslash$

Duration $\backslash \backslash$

$($months$)$

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

Normal $\backslash \backslash$

cost $(\backslash$$k$)$

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

Crash $\backslash \backslash$

Cost $\backslash \backslash$

$($slope$)$

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

Maximum $\backslash \backslash$

number $\backslash \backslash$

of crash $\backslash \backslash$

times

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

$\backslash$hline A & none & $9$ & $50$ & $70$ & $3\backslash \backslash$

$\backslash$hline B & none & $13$ & $20$ & $40$ & $2\backslash \backslash$

$\backslash$hline C & none & $6$ & $70$ & $30$ & $2\backslash \backslash$

$\backslash$hline D & A & $10$ & $50$ & $50$ & $2\backslash \backslash$

$\backslash$hline E & C & $14$ & $90$ & $90$ & $2\backslash \backslash$

$\backslash$hline F & B$,$ D$,$ E & $7$ & $20$ & $40$ & $1\backslash \backslash$

$\backslash$hline Total & & & $300$ & & $\backslash \backslash$

$\backslash$hline

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

$1)$ Crash the project schedule showing the direct, indirect and total costs for each crashing step between normal duration and minimum duration after maximum crashing. For each of the crashing steps, document what activity$($ies$)$ is$($are$)$ crashed, and what are the related direct, indirect and total costs for the project