Your company is considering taking on a new project that will cost $$200,000.$ It is estimated that the system will increase sales$/$revenues by $$150,000$ annually for Years $1-6.$ Operating expenses, other than depreciation, are expected to be equal to $60$ percent of sales in each year. The system will be depreciated on a MACRS basis over $5$ years $($depreciation rates are $20\%,32\%,19\%,12\%11\%,$ and $6\%)$ to a zero book value, but the expected salvage at Year $6$ is $$40,000.$ The firm will also be required to invest $$25,000$ in net working capital at Year $0,$ but will recapture this amount at Year $6.$ You may assume that the tax rate on ordinary income is $40$ percent $($record negative taxes as a positive cash flow$).$ As you can calculate, the IRR for this project is $13\mathrm{.}02\%.$ If we assume that the firm's cost of capital for this project is $9$ percent, then what is the NPV for this project?

$$ $$37,201\mathrm{.}15$

$$21,301\mathrm{.}58$

$$6,874\mathrm{.}69$

$$13,915\mathrm{.}29$

$$ $$29,055\mathrm{.}63$