week the project is delayed beyond week $14.$

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

$\backslash$hline Activity & Immediate Predecessor$($s$)$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Normal Time $\backslash \backslash$

$($weeks$)$

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

Crash Time $\backslash \backslash$

$($weeks$)$

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

Normal Cost $\backslash \backslash$

$\backslash (\backslash$mathbf$\{(\backslash$$ $)\}\backslash )$

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

Crash Cost $\backslash \backslash$

$\backslash (\backslash$mathbf$\{(\backslash$$ $)\}\backslash )$

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

$\backslash$hline A & $-$ & $4$ & $3$ & $7,000$ & $10,000\backslash \backslash$

B & $-$ & $3$ & $3$ & $3,000$ & $3,000\backslash \backslash$

C & A & $5$ & $3$ & $12,000$ & $40,000\backslash \backslash$

D & B & $2$ & $1$ & $12,000$ & $28,000\backslash \backslash$

E & C & $1$ & $1$ & $8,000$ & $8,000\backslash \backslash$

F & D$,$ E & $5$ & $4$ & $5,000$ & $13,000\backslash \backslash$

G & E & $3$ & $2$ & $9,000$ & $15,000\backslash \backslash$

$\backslash$hline

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

a$.$ What is the shortest time duration for this project regardless of cost$?$

The shortest project duration regardless of cost is weeks. $($Enter your response as a whole number.$)$

b$.$ What is the minimum total cost associated with completing the project in $14$ weeks?

The minimum total cost to complete the project in $14$ weeks is : $($Enter your response as a whole number.$)$