Columbus Corp. has annual sales of $$80,000,000$; its average inventory is $$20,000,000$; and its average accounts receivable is $$16,000,000.$ The firm buys all raw materials on terms of net $35$ days payable deferral with $$150,000$ cost of the good sold per day. The firm is searching for ways to shorten the cash conversion cycle. If inventory conversion can be lowered to $80$ days and average collection period can be reduced to $65$ days while payable deferral is increased by $5$ days, cost of the good sold, and annual sales remain constant, how much is the increase in firm$$s free cash flow?