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

August $1$ Inventory on hand$-2,900$ units; cost $$7\mathrm{.}00$ each.

August $8$ Purchased $14,500$ units for $$6\mathrm{.}40$ each.

August $14$ Sold $11,600$ units for $$12\mathrm{.}90$ each.

August $18$ Purchased $8,700$ units for $$6\mathrm{.}00$ each.

August $25$ Sold $10,600$ units for $$11\mathrm{.}90$ each.

August $28$ Purchased $4,900$ units for $$5\mathrm{.}80$ each.

August $31$ Inventory on hand$-8,800$ 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$).$