Cash flows estimation and capital budgeting: You are the head of finance department in XYZ Company. You are considering adding a new machine to your production facility. The new machines base price is $10,800.00, and it would cost another $2,760.00 to install it. The machine falls into the MACRS 3-year class (the applicable MACRS depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%), and it would be sold after three years for $2,350.00. The machine would require an increase in net working capital (inventory) of $800.00. The new machine would not change revenues, but it is expected to save the firm $23,845.00 per year in before-tax operating costs, mainly labor. XYZ's marginal tax rate is 35.00%.

a. What is the initial cash outlay? b. What is the free cash flow for year 1? c. What is the additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital also called terminal value)?

(please show your work in details and highlight your answers)