August $1$ Inventory on hand$-3,500$ units; cost $$7\mathrm{.}60$ each.

August $8$ Purchased $17,500$ units for $$7,00$ each.

August $14$ Sold $14,000$ units for $$13\mathrm{.}50$ each.

August $18$ Purchased $10,500$ units for $$6\mathrm{.}80$ each.

August $25$ Sold $13,000$ units for $$12\mathrm{.}50$ each.

August $28$ Purchased $5,500$ units for $$5\mathrm{.}80$ each.

August $31$ Inventory on hand$-10,000$ 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$).$

$\backslash$table$[[$Perpetual LIFO:,Cost of Goods Available for Sale,Cost of Goods Sold $-$ August $14,$Cost of Goods Sold $-$ August $25,,$Invent$],[$Number of units,Cost per unit,Cost of Goods Available for Sale,Number of units sold,Cost per unit,Cost of Goods Sold,Number of units sold,Cost per unit,Cost of Goods Sold,Total Cost of Goods Sold,Number of units in ending inventory$],[$Beginning Inventory,$3,500,$$ $7\mathrm{.}60,$$ $26,600,,57\mathrm{.}60,$$ $0,,$$ $7\mathrm{.}60,$$ $0,,],[$Purchases:$,,],[$August $8,17,500,7\mathrm{.}00,122,500,,7\mathrm{.}00,,,,,],[$August $18,10\mathrm{.}500,6\mathrm{.}80,71,400,,6\mathrm{.}80,0^1,,6\mathrm{.}80,,],[$Audust $28,5\mathrm{.}500,5\mathrm{.}80,31\mathrm{.}900$ f$,,5\mathrm{.}80,$of$,,5\mathrm{.}80,,]]$