In $2022,$ Marg's Antiques claimed a reserve for doubtful debts of $$12,000.$ In $2023,$ she had actual bad debt write$-$offs of $$12,500$ and recoveries of previously written off bad debts of $$1,500.$ At the end of $2023,$ she claimed a reserve for doubtful debts of $$14,000.$ Marg's $2023$ net deduction for doubtful and bad debts would be:

$$12,500$

$$13,000$

$$11,000$

$$14,000$