A Value Stream Manager would like to combine three processes with processing times of $0\mathrm{.}50$ minutes, $1\mathrm{.}25$ minutes, and $2\mathrm{.}20$ minutes. Demand is $800$ units daily and there are $8$ hours of available work time per day.

$1$a$).$What is the takt time in seconds?

$1$b$).$What is the most appropriate FTE for the new $($i$.$e$.,$ combined$)$ process?