Exercise $8-15($Algo$)$ LIFO; perpetual system $[$L$08-1,8-4]$

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

August $1$ Inventory on hand $-2,600$ units; cost $$6\mathrm{.}70$ each.

August $8$ Purchased $13,000$ units for $$6\mathrm{.}10$ each.

August $14$ Sold $10,400$ units for $$12\mathrm{.}60$ each.

August $18$ Purchased $7,800$ units for $$5\mathrm{.}60$ each.

August $25$ Sold $9,400$ units for $$11\mathrm{.}60$ each.

August $28$ Purchased $4,600$ units for $$5\mathrm{.}80$ each.

August $31$ Inventory on hand$-8,200$ 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 $25,\backslash$table$[[$Total Cost of$],[$Goods Sold$]],$Inventory Balance$],[\backslash$table$[[$Number$],[$of units$]],\backslash$table$[[$Cost$],[$per$],[$unit$]],\backslash$table$[[$Cost of Goods$],[$Available for Sale$]],\backslash$table$[[$Number of$],[$units sold$]],\backslash$table$[[$Cost$],[$per unit$]],\backslash$table$[[$Cost of$],[$Goods Sold$]],\backslash$table$[[$Number of$],[$units sold$]],\backslash$table$[[$Cost$],[$per$],[$unit$]],\backslash$table$[[$Cost of$],[$Goods Sold$]],\backslash$table$[[$Number of$],[$units in ending$],[$inventory$]],\backslash$table$[[$Cost per$],[$unit$]],\backslash$table$[[$Ending$],[$Inventory$]]],[$Beginning Inventory,$2,600,$$$6\mathrm{.}70,17,420,,$$$6\mathrm{.}70,,,$$$6\mathrm{.}70,,,,$$$6\mathrm{.}70,],[$Purchases:$],[$August $8,13,000,6\mathrm{.}10,79,300,,6\mathrm{.}10,,,6\mathrm{.}10,,,,6\mathrm{.}10,],[$August $18,7,800,5\mathrm{.}60,43,680,,5\mathrm{.}60,,,5\mathrm{.}60,,,,5\mathrm{.}60,],[$August $28,4,600,5\mathrm{.}80,26,680,,5\mathrm{.}80,,,5\mathrm{.}80,,,,5\mathrm{.}80,],[$Total$,28,000,,167,080,,,,,,,,,,]]$