You have been asked by the president of your company to evaluate proposed project involving a spectrometer. The equipment's base price is $$140,000,$ and it would cost another $$30,000$ to modify it for special use by your firm. The spectrometer, which falls into the MACRS $3$year class, would be sold after $3$ years for $$60,000.$ The applicable depreciation rates are $33$ percent, $45$ percent, $15$ percent, and $7$ percent. Use of the equipment would require an increase in net operating working capital $($spare parts inventory$)$ of $$8,000.$ The spectrometer would bring in $$100,000$ in revenue per year for each of three years with $$50,000$ per year in operating costs per year. The firm's marginal federal$-$plus$-$state tax rate is $25$ percent.

If the project's cost of caplal is $12$ percent, find the cash flows for years $0-3$ and the NPV and VIRR for the project?