A company adopted dollar$-$value LIFO on January $1,2024,$ when the inventory value was $$511,000$ and the cost

index was $1\mathrm{.}0.$ On December $31,2024,$ the inventory value at year$-$end costs was $$546,000$ and the cost index

was $1\mathrm{.}04.$ The company would report a LIFO inventory of:

Multiple Choice

$$525,000$

$$531,440$

$$534,459$

$$525,560$