Ameson Company uses average cost and a perpetual system. On January 1, the company had 600 units of inventory at an average cost of $55 per unit for a total cost of $33,000. The company purchased and sold inventory during the month as follows: Purchases: January 10: 1,000 units at $59 = $59,000 January 20: 800 units at $62 = $49,600 Sales: January 12: 1,200 units January 28: 900 units What is the average cost per unit that should be used to determine the cost of the units sold on January 28.