One year​ ago, your company purchased a machine used in manufacturing for . You have learned that a new machine is available that offers many​ advantages; you can purchase it for today. It will be depreciated on a​ straight-line basis over ten​ years, after which it has no salvage value. You expect that the new machine will contribute EBITDA​ (earnings before​ interest, taxes,​ depreciation, and​ amortization) of per year for the next ten years. The current machine is expected to produce EBITDA of per year. The current machine is being depreciated on a​ straight-line basis over a useful life of 11​ years, after which it will have no salvage​ value, so depreciation expense for the current machine is per year. All other expenses of the two machines are identical. The market value today of the current machine is . Your​ company's tax rate is ​, and the opportunity cost of capital for this type of equipment is . Is it profitable to replace the​ year-old machine?