Altira Corporation provides the following information related to its merchandise inventory during the month of August $2021$:

Aug$\mathrm{.}1$ Inventory on hand$3,900$ units; cost $$7\mathrm{.}20$ each.

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

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

$18$ Purchased $11,700$ units for $$7\mathrm{.}50$ each.

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

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

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

Required:

Using calculations based on a periodic inventory system, determine the inventory balance Altira would report in its August $31,2021,$ balance sheet and the cost of goods sold it would report in its August $2021$ income statement using each of the following cost flow methods.