$3.$ One year ago, your company purchased a machine used in manufacturing for $$110,000.$ You have learned that a new machine is available that offers many advantages; you can purchase it for $$150,000$ 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 produce EBITDA $($earning before interest, taxes, depreciation, and amortization$)$ of $$40,000$ per year for the next $10$ years. The current machine is expected to produce EBITDA of $$20,000$ 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 $$10,000$ per year. All other expenses of the two machines are identical. The market value today of the current machine is $$50,000.$ Your company$$s tax rate is $45\%,$ and the opportunity cost of capital for this type of equipment is $10\%.$ Is it profitable to replace the year$-$old machine?