A company is designing a product layout for a new product. It plans to use this production line $8$ hours a day in order to meet projected demand of $480$ units per day. The tasks necessary to produce this product are:TaskTime $($secs$)$ImmediatePredecessoru$30$nonev$30$uw$6$ux$12$wy$54$xz$30$v$,$yIf the company wants the output rate to be equal to demand, what is the desired cycle time $($in seconds$)?$