Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table. These are to be combined into workstations to create an assembly line. The assembly line operates $6\mathrm{.}25$ hours per day. The output requirement is $750$ units per day.

TASK PRECEDING TASKS TIME $($SECONDS$)$

A $19$

B A $15$

C A $17$

D B $10$

E B $12$

F C $14$

G C $13$

H D $10$

I E $12$

J F$,$ G $7$

K H$,$ I $12$

L J$,$ K $7$

What is the required workstation cycle time to meet the desired output rate?