Bolton Company changed their method of accounting for inventory costs from LIFO to FIFO on January $1,2025.$ If FIFO had been used in $2024,$ the first year of operations, cost of goods sold would have been $$20,000$ lower. Assuming Bolton is subject to a tax rate of $25\%,$ what entry is made to record the after$-$tax effect of the accounting change? $($Choose all that apply$)$

A$.$ debit cost of goods sold $$20,000.$

B$.$ credit taxes payable $$5,000$

C$.$ credit retained earnings $$15,000$

D$.$ debit inventory $$20,000$

E$.$ debit taxes payable $$5,000$

F$.$ credit inventory $$20,000$