Excel Corporation has $$4$ million of inventory and $$1\mathrm{.}5$ million of accounts receivable. Its average daily sales is $$100,000.$ The companys payables deferral period is $30$ days with total account payables of $$1\mathrm{.}2$ million. Suppose this company is expecting to increase its payable deferral period to $33$ days and to decrease its inventory conversion period to $80$ days simultaneously, how much will the company expect its Free Cash Flow $($in $$)$ to increase due to these changes? Assume its days sales outstanding remains unchanged.