The Blue Sky Ski Resort plans to install a new chair lift. Construction is estimated to require an immediate outlay of $$$$220$ comma $000.$ The life of the lift is estimated to be fifteen years with a salvage value of $$$$75$ comma $000.$ Cost of clearing and grooming the new area is expected to be $$$$20$ comma $000$ for each of the first three years of operation. Net cash inflows from the lift are expected to be $$$$42$ comma $000$ for each of the first five years and $$$$60$ comma $000$ for each of the following ten years. Calculate the internal rate of return$($IRR$).$