Problem $6-17($Algo$)$ 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 $14$ hours per day. The output requirement is $1,800$ units per day. TASK A BUDE $$ F PRECEDING TASKS A A B B C TIME $($SECONDS$)1514129810$ TASK G H I J K L PRECEDING TASKS $$ D E F$,$ G H$,$ I J$,$ K TIME $($SECONDS$)1356241614$d$.$ After production was started, Marketing realized that they understated demand and must increase output to $1,900$ units. There are two options: reduce cycle time or work overtime. Please identify the following: $($Round your answers to the nearest whole number.$)$ Reduce cycle time to $27$ seconds or work minutes of overtime.