At a sales volume of $38,500$ units, Choice Corporation's sales commissions $($a cost that is variable with respect to sales volume$)$ total $$442,750.$

To the nearest whole dollar, what should be the total sales commissions at a sales volume of $35,000$ units? $($Assume that this sales volume is within the relevant range.$)($Round intermediate calculations to $2$ decimal places.$)$

Multiple Choice

$$422,625$

$$442,750$

$$487,025$

$$402,500$