Problem $8-14($Algo$)$ Dollar$-$value LIFO $[$LO$8-8]$

A company uses the dollar$-$value LIFO method of computing inventory. An external price index is used to convert ending inventory to

base year. The company began operations on January $1,2024,$ with an inventory of $$255,000.$ Year$-$end inventories at year$-$end costs

and cost indexes for its one inventory pool were as follows:

Required:

Calculate inventory amounts at the end of each year.

Note: Round intermediate calculations and final answers to the nearest whole dollars.

Answer is complete but not entirely correct.