You are hired as a consultant. A corporation is considering purchasing a machine that has an expected $10-$year life and will generate $$10,000$ per year in sales but no impact on costs. The machine will be depreciated using the straight$-$line method to its anticipated salvage value of $$20,000.$ The firm has a $21\%$ tax rate and the required return for this project is $12\%.$ What is the maximum price the firm is willing to pay for the machine? $($Hint: calculate the cash flow for each year, consider depreciation and tax$)$

$12999$

$100,000$

$49299\mathrm{.}9$

$47953\mathrm{.}6$