Arcadia, Incorporated, acquired $100$ percent of the voting shares of Bruno Company on January $1,2023.$ In exchange, Arcadia paid $$548,750$ in cash and issued $100,000$ shares of its own $$1$ par value common stock. On this date, Arcadia's stock had a fair value of $$15$ per share. The combination is a statutory merger with Bruno subsequently dissolved as a legal corporation. Bruno$$s assets and liabilities are assigned to a new reporting unit.

The following shows fair values for the Bruno reporting unit for January $1,2023,$ along with respective carrying amounts on December $31,2024.$

Bruno Reporting Unit Fair Values $1/1/23$ Carrying Amounts $12/31/24$

Cash $ $102,500$ $ $52,500$

Receivables $198,250247,500$

Inventory $235,250262,500$

Patents $821,000898,500$

Royalty agreements $621,250598,000$

Equipment $($net$)393,000295,000$

Goodwill $?484,000$

Accounts payable $(126,500)(225,000)$

Long$-$term liabilities $(680,000)(596,000)$

Note: Parentheses indicate a credit balance.

Required:

Prepare Arcadia's journal entry to record the assets acquired and the liabilities assumed in the Bruno merger on January $1,2023.$

On December $31,2024,$ Arcadia opts to forgo any goodwill impairment qualitative assessment and estimates that the total fair value of the entire Bruno reporting unit is $$1,745,000.$ What amount of goodwill impairment, if any, should Arcadia recognize on its $2024$ income statement?