8-1. The seasonal energy efficiency ratio (SEER) is 13 for a new heating and air conditioning system that costs $4,400 to install. A higher SEER (14) system is available for $5,200. The more efficient system with a SEER of 14 will save 10,000,000 Btu per year in energy consumption. Assume the cost per million Btu is $10.00. If the warranty on either system is 10 years, is the extra $800 for the more efficient system justified? The inflation-free (real) interest rate is 2% per year. What assumptions did you make in your analysis? (8.2)