Barry Computer Co$.$ currently has $$200,000$ in AR with a DSO of $50$ days. It wants to tighten its DSO to $30$ days which it thinks will decrease sales by $10\%.$ What will $AR$ approximately equal following this change?

a$.$ $$78,000$

B$.97,000$

c$.$ $$104,000$

$($d$.)$ $$108,000$

e$.$ $$120,000$