Q$2.$ An advertising project manager is planning a new advertising campaign. In addition, the manager gathered the time information for each activity. The precedence relationships of the activities are shown in the Table $2$ below.

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

$\backslash$hline Table $2$: Time Estimate $($weeks$)\backslash \backslash$

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

Optimistic $\backslash \backslash$

time

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

Most Likely $\backslash \backslash$

time

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

Pessimistic $\backslash \backslash$

time

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

Immediate $\backslash \backslash$

Predecessor

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

Expected $\backslash \backslash$

time $($Te$)$

$\backslash$end$\{$tabular$\}$ & Variance $\backslash \backslash$

$\backslash$hline A & $1$ & $4$ & $7$ & Start & & $\backslash \backslash$

$\backslash$hline B & $2$ & $6$ & $7$ & Start & $\backslash \backslash$

$\backslash$hline D & $3$ & $3$ & $6$ & B & $\backslash \backslash$

$\backslash$hline E & $6$ & $13$ & $14$ & A & $\backslash \backslash$

$\backslash$hline F & $3$ & $6$ & $12$ & A$,$ C & $\backslash \backslash$

$\backslash$hline G & $6$ & $8$ & $16$ & B & $\backslash \backslash$

$\backslash$hline

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

A$.$ Calculate the expected time $($Te$)$ and variance for each activity

B$.$ Draw the network

C$.$ Determine the critical path, using the expected times $($Te$)$ as activity duration.

D$.$ How long will the advertising campaign project take?

E$.$ Calculate the slack for each activity