A factory purchased a new cooling system for $450,000. The system has a service life f 10 years and requires annual maintenance that starts at $5,000/year and increases by $1,000 each of the following years excluding the last year. At the end of its life the system can be sold for scrap for $50,000. What is the annualized life- cycle cost of purchasing and operating this machine? The annual interest rate is 4%.