Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels.

$\backslash$table$[[,$Time $($weeks$),$Immediate,,Time $($weeks$),$Immediate$],[$Activity$,a,m,b,$Predecessor$($s$),$Activity,$a,m,b,$Predecessor$($s$)],[$A$,6,8,12,-,$G$,2,3,5,$C$,$ E$],[$B$,2,9,23,$A$,$H$,1,1,1,$F$],[$C$,9,12,16,$A$,$I,$7,7,7,$F$],[$D$,4,6,9,$A$,$J$,6,8,12,$D$,$ G$,$ H$],[$E$,1,3,4,$B$,$K$,1,1,4,$I, J$],[$F$,5,9,21,$C$,$ E$,,,,,]]$

a$)$ The expected $($estimated$)$ time for activity $C$ is $12\mathrm{.}16$ weeks. $($Round your response to two decimal places.$)$

b$)$ The variance for activity $C$ is weeks. $($Round your response to two decimal places.$)$

c$)$ Based on the calculation of the estimated times, the critical path is $A-B-E-F-H-J-K.$

d$)$ The estimated time for the critical path is weeks. $($Round your response to two decimal places.$)$