The Fresh Connection is looking at the needs for a new processing operation. The demand at this operation is $183$ units per day. Given the combination of regular time, overtime and some additional time available due to cross training, this operation is up and running for $22\mathrm{.}8$ hours per day across multiple shifts.

Task Time Req. $($min$.)$ Predecessor Tasks

a $12\mathrm{.}08-$

b $12\mathrm{.}32$ a

c $12\mathrm{.}93$ b

d $9\mathrm{.}83$ c

e $12\mathrm{.}87$ d

f $6\mathrm{.}44$ e

g $13\mathrm{.}92$ f

h $9\mathrm{.}15$ g

Assuming that each task must be completed in sequence and that each task has its own workstation, what is the cycle time?