Show me all the work and equations to get each number do not assume i know basic accounting equations

Thank you

Altira Corporation provides the following information related to its merchandise inventory during the month of August 2021: Aug. 1 Inventory on hand-2,600 units cost $6.70 each. 8 Purchased 13,000 units for $6.10 each. 14 Sold 10,400 units for $12.60 each. 18 Purchased 7,800 units for $5.60 each. 25 Sold 9,400 units for $11.60 each. 28 Purchased 4,600 units for $5.80 each. 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, 2021, balance sheet and the cost of goods sold it would report in its August 2021 income statement using last-in, first-out (LIFO). Cost of Goods Available for Sale Cost of Goods Sold - August 14 Cost of Goods Sold - August 25 Inventory Balance Perpetual LIFO: Cost #of units per Cost of Goods Available for Sale # of units sold Cost per unit Cost of Goods Sold # of units sold Cost per unit Cost of Total Cost of Goods Sold Goods Sold # of units in ending inventory Cost per unit Ending Inventory unit 2,600 $6.70 $ 17.420 $ 6.70 $ 0 $ 6.70 $ 0 $ 6.70 6.10 Beg. Inventory Purchases August 8 August 18 August 28 Total 6.10 5.60 6.10 5.60 5.60 6.10 5.60 5.80 0 13,000 7,800 4,600 28,000 0 79,300 43.880 26,680 167,080 5.8 0 5.80 5.80 $ 0 S 0 0 $ $ 0 S 0