Problem $2$:

A small electronics company assembles power supplies for use in computers, printers and FAX machines. They want to set up an assembly line to make their operation more efficient and plan to use line balancing with the incremental utilization heuristic. The demand for power supplies is $200$ per hour, and the productive time per hour is $52$ minutes. The following table provides details on their operation $($with time in minutes$)$:

$\backslash$table$[[$Task$,\backslash$table$[[$Tasks that must$],[$immediately precede$]],\backslash$table$[[$Time to$],[$perform task$]]],[$A$,---,\mathrm{.}56,],[$B$,$A$,\mathrm{.}34,],[$C$,$A$,\mathrm{.}11,],[$D$,$A$,\mathrm{.}09,],[$E$,$B$,$C$,\mathrm{.}43,],[$F$,$D$,\mathrm{.}22,],[$G$,$E$,\mathrm{.}62,],[$H$,$F$,$G$,\mathrm{.}35,],[$I$,$H$,\mathrm{.}21,],[$J$,$H$,\mathrm{.}57,],[$K$,$I,J$,\mathrm{.}33,]]$