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

August $1$ Inventory on hand$-3,900$ units; cost $$8\mathrm{.}00$ each.

August $8$ Purchased $19,500$ units for $$7\mathrm{.}40$ each.

August $14$ Sold $15,600$ units for $$13\mathrm{.}90$ each.

August $18$ Purchased $11,700$ units for $$6\mathrm{.}60$ each.

August $25$ Sold $14,600$ units for $$12\mathrm{.}90$ each.

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

August $31$ Inventory on hand$-10,800$ units.

Required

Using calculations based on a perpetual inventory system, determine the inventory balance Altica 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$)$