A municipality is planning on constructing a water treatment plant at an initial cost of \($10\),000,000. Every 5 years, major repairs and cleanup are required at a cost of \($2\),000,000. Due to the necessity to remove sludge and make minor repairs, annual costs of operating the treatment plant are estimated to be \($700\),000, \($775\),000, \($850\),000, \($925\),000, and \($1\),000,000 each year leading up to the 5-year major repair and cleanup. Based on a 4 percent/year TVOM, what is the capitalized cost for the water treatment plant?