Exercise $8-15($Algo$)$ LIFO; perpetual system $[$LO$8-1,8-4]$

Altira Corporation provides the following information related to its inventory during the month of August $2024$:

August $1$ Inventory on hand$-3,409$ units; cost $$7,50$ each.

August $8$ Purchased $17,000$ units for $$6\mathrm{.}90$ each.

August $14$ Sold $13,600$ units for $$13\mathrm{.}40$ each.

August $18$ Purchased $10,200$ units for $$6\mathrm{.}40$ each.

Aurgust $25$ Sold $12,600$ units for $$12,40$ each.

August $28$ Purchased $5,400$ units for $$5\mathrm{.}80$ each.

August $31$ Imventory on hand$-9,800$ units.

Using calcutattons based on a perpetual inventory system, determine the inventory balance Altira would report in its August $31,2024.$ balance sheet and the cost of goods sold it would report in its August $2024$ income statement using last$-$in$,$ first$-$out $($LIFO$).$