Coleman Rich Control Devices, Inc., produces custom$-$built relay devices for auto makers. The most recent project undertaken by Rich requires $14$ different activities. Rich's managers would like to determine the total project completior time $($in days$)$ and those activities that lie along the critical path. The appropriate data are shown in the following table:

$\backslash$table$[[,$Time $($days$),$Immediate,,Time $($days$),$Immediate$],[$Activity$,a,m,b,$Predecessor$($s$),$Activity,$a,m,b,$Predecessor$($s$)],[$A$,4,7,7,-,$H$,4,4,7,$E$,$ F$],[$B$,2,3,4,-,$I,$2,7,8,$G$,$ H$],[$C$,6,6,6,$A$,$J$,3,4,9,$I$],[$D$,4,8,12,$A$,$K$,7,9,11,1],[$E$,3,8,17,$B$,$ C$,$L$,1,5,6,$J$],[$F$,1,4,7,$D$,$M$,1,2,4,$K$],[$G$,2,5,8,$D$,$N$,6,9,12,$L$,$ M$]]$

a$)$ The expected completion time of the project $=$ days $($round your response to two decimal places$).$