Cheyenne laboratories holds a valuable patent (no. 758-6002-1a) on a precipitator that prevents certain types of air pollution. cheyenne does not manufacture or sell the products and processes it develops. instead, it conducts research and develops products and processes which it patents, and then assigns the patents to manufacturers on a royalty basis. occasionally it sells a patent. the history of cheyenne patent number 758-6002-1a is as follows. dateactivitycost2008–2009 research conducted to develop precipitator $366,000jan. 2010 design and construction of a prototype 88,200march 2010 testing of models 21,000jan. 2011 fees paid engineers and lawyers to prepare patent application; patent granted june 30, 2011 76,500nov. 2012 engineering activity necessary to advance the design of the precipitator to the manufacturing stage 83,000dec. 2013 legal fees paid to successfully defend precipitator patent 21,000april 2014 research aimed at modifying the design of the patented precipitator 22,000july 2018 legal fees paid in unsuccessful patent infringement suit against a competitor 32,000fields assumed a useful life of 17 years when it received the initial precipitator patent. on january 1, 2016, it revised its useful life estimate downward to 5 remaining years. amortization is computed for a full year if the cost is incurred prior to july 1, and no amortization for the year if the cost is incurred after june 30. the company’s year ends december 31.compute the carrying value of patent no. 758-6002-1a on each of the following dates: (a) december 31, 2011 $(b) december 31, 2015 $(c) december 31, 2018