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Peter Packers uses LIFO for income tax and external reporting purposes. The LIFO base inventory at the end of Year $3$ for the inventory pool was $$85,000.$ The physical inventory of the inventory pool taken at the end of Year $4,$ priced at Year $4$ costs on a FIFO basis, was $$110,000.$ The price level for Year $3$ was $100$ and for Year $4$ was $110.$

Using the price indices provided, compute the Year $4$ dollar$-$value LIFO ending inventory.

Ending InventoryPriceEnding InventoryInventoryPriceEnding InventoryDate$($End of year prices$)$Index$($Base year prices$)$LayersIndex$($Dollar Value LIFO$)$Year $3$Answer $11\mathrm{.}0$Answer $2$Answer $31\mathrm{.}0$Answer $4$Year $4$Answer $51\mathrm{.}1$Answer $6$Answer $71\mathrm{.}0$Answer $8$Answer $91\mathrm{.}1$Answer $10$