This year a firm had revenues of $$10,000$ and total operating expenses of $$8,000.$ The firm also increased their inventory by $$500,$ accounts receivable by $$300$ and accounts payable by $$400.$The firm also purchased a new $$1,000$ piece of machinery. The firm recorded $$200$ in depreciation and paid $$200$ in interest. The firm$$s tax rate is $21\%.$ What is the free cash flow for the firm?