Q$2(50$ points$)$ The network diagram of a project is shown below.

$($a$)$ Use two$-$pass method to determine the critical path $($you can show the different times in the above diagram$).(10$ points$)$

$($b$)$ What is the project duration? $(5$ points$)$

$($c$)$ What is the slack time of activity F$?(5$ points$)$

$($d$)$ Activities A$,$ B$,$ C$,$ D can be crashed. The normal time, crash time, normal cost and crash cost are shown in the table below. What is the daily crash cost of each activity? $(10$ points$)$

$($e$)$ The project needs to be completed in $22$ days. How can you achieve this goal at minimum cost? Please report your crashing steps in the table below. $($The table size does not imply the number of steps that will be needed.$)(20$ points$)$

$\backslash$table$[[,\backslash$table$[[$Normal time$],[($days$)]],$Normal Cost $($$$),$Crash time $($days$),$Crash Cost $($$$),\backslash$table$[[$Daily Crash Cost$],[($$$/$day$)]]],[$A$,7,10,4,28,],[$B$,3,30,1,36,],[$C$,4,20,2,30,],[$D$,5,20,3,40,]]$