One year$$ ago, your company purchased a machine used in manufacturing for $ $120,000.$ You have learned that a new machine is available that offers many$$ advantages; you can purchase it for $ $140,000$ today. It will be depreciated on a$$ straight$-$line basis over $10$ years, after which it has no salvage value. You expect that the new machine will contribute EBITDA$($earnings before$$ interest, taxes,$$ depreciation, and$$ amortization$)$ of $ $40,000$ per year for the next $10$ years. The current machine is expected to produce EBITDA of $ $21,000$ 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 $ $10,909\mathrm{.}09$ per year. All other expenses of the two machines are identical. The market value today of the current machine is $ $50,000.$ Your$$ company's tax rate is $40\%,$ and the opportunity cost of capital for this type of equipment is $10\%.$ Is it profitable to replace the$$ year$-$old machine?