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

ugust $1$ Inventory on hand$-2,300$ units; cost $$6\mathrm{.}40$ each.

ugust $8$ Purchased $11,500$ units for $$5\mathrm{.}80$ each.

gust $14$ Sold $9,200$ units for $$12\mathrm{.}30$ each.

gust $18$ Purchased $6,900$ units for $$5\mathrm{.}00$ each.

gust $25$ Sold $8,200$ units for $$11\mathrm{.}30$ each.

ugust $28$ Purchased $4,300$ units for $$5\mathrm{.}80$ each.

igust $31$ Inventory on hand$-7,600$ units.

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