Project A has forecasted an outlay of $$200,000$ for the equipment and an additional $$40,000$ for installation. The firm will see an increase of $$25,000$ in inventories immediately to undertake this project, but they will also see an immediate increase in accounts payable of $$5,000.$ There will be a return of the net working capital change at the end of the fourth year. Also, at the end of the fourth year the firm will sell the asset for a salvage value of $$25,000.$ The firm has a variable cost of operations that is equivalent to $60\%$ of sales, a sales price of $$2\mathrm{.}00$ with no assumed annual inflation, and a tax rate of $26\%.$ Depreciation will fall into the $3-$year MACRS class carry out the depreciation proportion out to the fourth digit $($e$.$g$.,0.$xxxx or xx$.$xx$\%).$ Unit sales are forecast to be $100,000$; $110,000$; $100,000$; and $100,000$ respectively for the first four years. What is the final free cash flow for the fourth year after adjusting for all relevant items?

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