$($SHOW YOUR COMPLETE WORK$)$ In the year $2024,$ a factory plans to produce $1,080,000$ units to meet the demand forecast. In order to accomplish this, each worker will work $45$ hours per week. The factory will operate $50$ weeks per year. If the labor productivity at the factory is $10$ units per labor$-$hour, how many workers are employed at the factory?

$[6$ points$]$