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GMS $450$ Assignment $2-$ Group

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$2.$ What is the minimum expected time in which this project can be completed? The critical path is A$-$C$-$D$-$E$-$F$-$J$-$K given $37$ weeks, as shown in Question $1.$

$\backslash$table$[[$Task$,$Expected Time $($in weeks$),$Crash Time $($given in Exhibit $2),\backslash$table$[[$Expected Time$],[$Crash Time$]]],[$A$,3,3,0],[$B$,7,6,1],[$C$,6,5,1],[$D$,7,6,1],[$E$,9,8,1],[$F$,5,4,1],[$G$,6,4,2],[$H$,4,3,1],[$I$,2,2,0],[$J$,4,5,-1],[$K$,3,2,1]]$

Minimum Expected Time $=$ Critical path $-$ Maximum time reduction on critical path

Minimum Expected Time $=37-0-1-1-1-1-(-1)-1=33$ weeks

Therefore, the minimum expected time in which this project can be completed is $33$ weeks.

The probability that the project can be completed within $33$ weeks is

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