You must evaluate the purchase of a proposed spectrometer, for the R&D department. The purchase price of the spectrometer including modifications is $$90,000,$ and the equipment will be fully depreciated at the time of purchase. The equipment would be sold after $3$ years for $$29,000.$ The equipment would require a $$13,000$ increase in net operating working capital $($spare parts inventory$).$ The project would have no effect on revenues, but it should save the firm $$49,000$ per year in before$-$tax labor costs. The firm's marginal federal$-$plus$-$state tax rate is $25\%.$

a$.$ What is the initial investment outlay for the spectrometer after bonus depreciation is considered, that is$,$ what is the Year $0$ project cash flow? Enter your answer as a positive value. Round your answer to the nearest dollar.

$ $$

b$.$ What are the project's annual cash flows in Years $1,2,$ and $3?$ Do not round intermediate calculations. Round your answers to the nearest dollar.

Year $1$:$

Year $2$:$ $$

$$

Year $3$: $ $$

$q,$

c$.$ If the WACC is $11\%,$ should the spectrometer be purchased?

$$

$$