A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of $480$ units per day. The tasks necessary to produce this product are:

Task Time$($secs$)$ Immediate

Predecessor

u $30$ none

v $30$ u

w $6$ u

x $12$ w

y $54$ x

z $30$ v$,$y

Without regard to demand, what is the minimum possible cycle time $($in seconds$)$ for this situation?