Consider the following information about a small project:

$\backslash$table$[[$Activity$,$Duration $($days$),$Predecessor$],[$A$,1,$None$],[$B$,4,$A$],[$C$,3,$A$],[$D$,7,$A$],[$E$,6,$B$],[$F$,2,$C$,$ D$],[$G$,7,$E$,$ F$],[$H$,9,$D$],[$I$,4,$G$,$ H$]]$

$($a$)$ Draw the network diagram.

$($b$)$ Identify the critical path, earliest start and finish, latest start and finish, and activity slack for each activity.

$($c$)$ How long will it take to complete the project?

$($d$)$ What would happen if the estimated duration for activity $F$ increases from two days to four days? Which path is the critical path? Would the project take longer? How long will it take to complete the project? Would anything else change?

Factors for Calculating Limits for the R$-$Chart and $\stackrel{}{x}-$Chart

$\backslash$table$[[\backslash$table$[[$Size of$],[$Sample $(n)$