Widget Co$.$ needs to design a product layout for a new product, the amazing "Thatsit". The company plans to use this new production line eight hours a day in order to meet projected demand of $1,440$ units per day. The following table describes the tasks involved in the production of a "Thatsit".

TASK PREDECESSOR TIME$($seconds$)$

U $4$

V U $14$

W V $12$

X V $10$

Y W $6$

Z X$,$ Y $8$

For output to equal projected demand, what should be the actual cycle time for this production line?

Balancing Formula