At XYZ Corp., the master schedule reflects the fact that $50$ percent of its output is product version A$,30$ percent is version B$,$ and $20$ percent is version C$.$ Suppose that over the coming year planned aggregate production is for $10,400$ units. Once the production plan is disaggregated evenly throughout the year, what will the weekly production for version A be $($assume $52$ weeks per year$)?$

Multiple Choice

$50$

$1,000$

$100$

$400$

$200$