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Task time estimates for the modification of an assembly line at Jim Goodale's Carbondale, Illinois, factory are as follows: Activity A $($Time in hours: $6\mathrm{.}0,$ Immediate Predecessors: None$),$ Activity B $($Time in hours: $7\mathrm{.}2,$ Immediate Predecessors: None$),$ Activity C $($Time in hours: $5\mathrm{.}0,$ Immediate Predecessors: A$),$ Activity D $($Time in hours: $6\mathrm{.}0,$ Immediate Predecessors: B$,$ C$),$ Activity E $($Time in hours: $4\mathrm{.}5,$ Immediate Predecessors: B$,$ C$),$ Activity F $($Time in hours: $7\mathrm{.}7,$ Immediate Predecessors: D$),$ Activity G $($Time in hours: $4\mathrm{.}0,$ Immediate Predecessors: E$,$ F$)$