A mechanical engineer must recommend a new heating system to a commercial building owner. The owner intends to sell the building in 15 years. A gas fired furnace option has a design life of 5 years, an initial cost of $11,000, a replacement cost of $6,000 and annual operating costs of $3,500, but adds no value to the building when sold. A geothermal heat pump system has a design life of 10 years, an initial cost of $17,000, a replacement cost of $8,000, annual operating costs of $2,500, and increases the value of the building by $3,000, when it is sold at the end of year 15. Determine the equivalent uniform annual cost (EUAC) of costs for the option the engineer should recommend at an interest rate of 4.3%. THE RIGHT ANSWER IS 4397.0. Please show step by step using formulas and equations.