Task Preceding Tasks Time $($Seconds$)$ A $15$ B A $24$ C A $6$ D B $12$ E B $18$ F C $7$ G C $11$ H D $9$ I E $14$ J F$,$ G $7$ K H$,$ I $15$ L J$,$ K $10$ a$.$ What is the workstation cycle time required to produce $1,000$ units per day? b$.$ Balance the line using the longest task time based on the $1,000-$unit forecast, stating which tasks would be done in each workstation. c$.$ For $($b$),$ what is the efficiency of your line balance, assuming it is running at the cycle time from part $($a$)?$ d$.$ After production was started, Marketing realized that it understated demand and must increase output to $1,100$ units. What action would you take? Be specific and quantita