$1.$ Draw the precedence network and perform the network calculation $($using only the most likely duration$).$

$2.$ Determine the critical path.

$3.$ What is the total slack and free slack of activity F$?$

$4.$ If you need to shorten the critical path by two days, what is the best activity to apply crashing independently of cost$?$

$5.$ For the activities on the critical path found in item $2,$ calculate the expected duration, standard deviation, and variance.

$6.$ Considering the information in item $5,$ what is the project delivery deadline, considering a confidence interval of $95\mathrm{.}44\%?\backslash$table$[[$Activity$,$Precedence,$\backslash$table$[[$Duration$],[$Optimistic$],[$Most Likely$]]],[$BEGINNING$,,0,0,0],[$A$,$BEGINNING,$41,60,89],[$B$,$BEGINNING,$12,20,24],[$C$,$BEGINNING,$28,30,33],[$D$,$A$,85,100,113],[$E$,$A$,20,30,40],[$F$,$B$,14,20,27],[$G$,$C$,34,40,48],[$H$,$E$,45,50,68],[$J$,$F$,$ G$,64,80,84],[$K$,$J$,24,40,48],[$L$,$G$,45,60,78],[$M$,$L$,16,20,22],[$END$,$D$,$ H$,$ K$,$ M$,0,0,0]]$

NOTE: DATA IN HOURS. ONE DAY EQUIVALENT TO $8$ HOURS