$10.$ Altira Corporation provides the following information related to its inventory during the month of August $2024$:

August $1$ Inventory on hand$3,700$ units; cost $$7\mathrm{.}80$ each.

August $8$ Purchased $18,500$ units for $$7\mathrm{.}20$ each.

August $14$ Sold $14,800$ units for $$13\mathrm{.}70$ each.

August $18$ Purchased $11,100$ units for $$6\mathrm{.}40$ each.

August $25$ Sold $13,800$ units for $$12\mathrm{.}70$ each.

August $28$ Purchased $5,700$ units for $$5\mathrm{.}80$ each.

August $31$ Inventory on hand$10,400$ units.

Using calculations 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$).$Using calculations 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$).$