Use this scenario for the following question$($s$).$

The process design team at a manufacturer has broken an assembly process into eight

basic steps, each with a required time, and predecessor as shown in the table. There are

$7\mathrm{.}5$ productive hours available in a day and the manufacturer wishes to produce $400$ units.

Balance the line by assigning tasks to workstations to fill up as much takt time as possible.

Break ties by assigning the longest task first.

Refer to the scenario above. Without using more than one worker per station, what is the

maximum output achievable in the $7\mathrm{.}5$ hour work day?

$1000$ units

$1800$ units

$1258$ units

$415$ units