he following information was available from the inventory records of Rich Company for January Units Unit Cost Total Cost Salance at January 1 3,000 $9.77 $29,310 Purchases: 2,000 10.30 20,600 January 6 January 26 2,700 10.71 28,917 Sales: (2,500) January 7 January 31 (3,700) Balance at January 31 1,500 a) Assuming that Rich maintains periodic inventory records, what should be the inventory at January 31, using the FIFO. LIFO and Average Cost inventory method, rounded to the nearest dollar? b) Assuming that Rich maintains perpetual inventory records, what should be the inventory at January 31, using the FIFO, LIFO and Average Cost inventory method, rounded to the nearest dollar