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

August $1$ Inventory on hand$3,800$ units; cost $$6\mathrm{.}20$ each.

August $8$ Purchased $15,200$ units for $$6\mathrm{.}40$ each.

August $14$ Sold $11,400$ units for $$12\mathrm{.}90$ each.

August $18$ Purchased $11,400$ units for $$6\mathrm{.}50$ each.

August $25$ Sold $13,300$ units for $$11\mathrm{.}90$ each.

August $28$ Purchased $7,600$ units for $$6\mathrm{.}70$ each.

August $31$ Inventory on hand$13,300$ units.

Required:

Using calculations based on a periodic 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 each of the following cost flow methods.