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

August $1$ Inventory on hand$-3,400$ units; cost $$7\mathrm{.}50$ each.

August $8$ Purchased $17,000$ units for $$6\mathrm{.}90$ each.

August $14$ Sold $13,699$ units for $$13\mathrm{.}40$ each.

August $18$ Purchased $10,280$ units for $$6\mathrm{.}40$ each.

August $25$ Sold $12,600$ units for $$12\mathrm{.}40$ each.

August $28$ Purchased $5,400$ units for $$5\mathrm{.}80$ each.

August $31$ Inventory on hand $-9,800$ units.

Using calculations based on a perpetual Inventory system, determine the Inventory balance Altra 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$[[\backslash$table$[[$Perpetual LIFO:$],[$Beginning Inventory$]],$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$[[\backslash$table$[[$Number$],[$of units$]]],[3,400]],\backslash$table$[[\backslash$table$[[$Cost$],[$per$],[$unit$]]],[$$$7\mathrm{.}50$