Question $5$

$5\mathrm{.}1.$ Producing widgets involves fourteen production tasks, lettered a through $n,$ below. For each task, the time required to accomplish it is given, and the immediately preceding task.

$(19)$

$\backslash$table$[[$Production Task,Time $($min$.),$Preceding Task$],[a,\mathrm{.}2,],[$b$,\mathrm{.}4,$a$],[$c$,\mathrm{.}5,$b$],[$d$,\mathrm{.}4,$c$],[e,1\mathrm{.}0,$a$],[$f$,\mathrm{.}5,e$