Question $2$: Use the information contained below to compress one time unit per move using the least cost method. Assume the total indirect cost for the project is $\backslash (\backslash$$ $2,000\backslash )$ and there is a savings of $\backslash (\backslash$$ $100\backslash )$ per time unit reduced. Calculate the total direct, indirect, and project costs for each duration. What is the optimum cost$-$time schedule for the project?

Note: The correct normal project duration and total direct cost are provided. Show ALL of your working to get the points $(30$ pts $).$

$\backslash$begin$\{$tabular$\}\{$ccccc$\}$

$\backslash$hline Act. & $\backslash$begin$\{$tabular$\}\{$c$\}$

Crash Cost $\backslash \backslash$

$($Slope$)$

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

Maximum $\backslash \backslash$

Crash Time

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

Normal $\backslash \backslash$

Time

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

Normal $\backslash \backslash$

Cost

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

$\backslash$hline A & $0$ & $2$ & $200\backslash \backslash$

B & $50$ & $1$ & $4$ & $1000\backslash \backslash$

C & $200$ & $2$ & $5$ & $800\backslash \backslash$

D & $200$ & $2$ & $5$ & $1000\backslash \backslash$

E & $100$ & $1$ & $3$ & $800\backslash \backslash$

F & $40$ & $1$ & $5$ & $1000\backslash \backslash$

G & $40$ & $1$ & $4$ & $1000\backslash \backslash$

H & & $0$ & $1$ & $200\backslash \backslash$

$\backslash$hline

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

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

$\backslash$hline & $\backslash \backslash$

$\backslash$hline Project duration $\backslash (\backslash$underline$\{20\}\backslash )\backslash \backslash$

$\backslash$hline Direct cost & $\backslash (\backslash$underline$\{6,000\}\backslash )\backslash \backslash$

Indirect cost & $\backslash (\backslash$underline$\{2,000\}\backslash )\backslash \backslash$

$\backslash$hline Total cost & $\backslash (\backslash$underline$\{8,000\}\backslash )\backslash \backslash$

$\backslash$hline

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