Dr$.$ Lori Baker, operations manager at Nesa Electronics, prides herself on excellent assembly$-$line balancing. She has been told that the firm needs to complete $120$ instruments per $24-$hour day. The assembly$-$line activities are:

$\backslash$table$[[$Task$,\backslash$table$[[$Performance$],[$Time $($mins$)]],$Predecessors,Task,$\backslash$table$[[$Performance$],[$Time $($mins$)]],$Predecessors$],[$A$,4,-,$G$,5,$F$],[$B$,6,-,$H$,7,$D$,$ E$],[$C$,8,$A$,$I,$1,$H$],[$D$,7,$A$,$ B$,$J$,7,$E$],[$E$,3,$B$,$K$,3,$G$,$ I, J$],[$F$,5,$C$,,,]]$

This exercise only contains parts $b,c,d,e,f,$ and $g.$

b$)$ For the given daily $(24-$hour$)$ production rate of $120$ units, the highest allowable cycle time $=,$ minutes $($enter your response as a whole number$).$