A roadbuilding project is moving earth using four, push$-$loaded scrapers. Each scraper hauls $18\mathrm{.}0$ loose cubic yards per cycle and has a cycle time of $5\mathrm{.}25$ minutes. The pusher$$s cycle time is $1\mathrm{.}42$ minutes. Assuming a $60-$minute hour and a swell factor of $1\mathrm{.}24,$ the operation$$s productivity is $\_\_\_\_\_\_\_\_\_\_$ bank cubic yards per $8-$hour day.

$4980$

$4910($this is the correct option$)$

$5120$

$5050$