Ruth's Boards sells a snowboard, Xpert, that is popular with snowbaard enthusiasts. Information relating to Ruth's purchases of Xpert snowboards during September is shown belaw. During the same manth, 120 Xpert snowboards were sold. Ruth's uses a periodic inventory system. Date Explanation Units Unit Cost Total Cost Sept. 1 Inventory 27 $2.592 Sept. 12 Purchases 45 101 4,545 Sept. 19 Purchases 20 103 2.060 Sept. 26 Purchases 50 104 5.200 Totals 142 $14,397 Instructions (a) Compute the ending inventory at September 30 and cost of goods sold using the FIFO and LIFO methods. Prove the amount allocated to cost of goods sold under each method. (b) For both FIFO and LIFO, calculate the sum of ending inventory and cost of goods sold. What do you notice about the answers you found for each method?