A utility company has a feedwater heating system that has output power of 150,000 kW. The system has an efficiency of 55%. Find the energy consumption in kW used by the existing system. (1) They are considering updating the heating system with the same output power but with a 56% efficiency. What is the reduction in energy consumption in kw for the company if it updates the heating system? (2) The system unit will have a load factor of 85% ie it will run for 85% of the year (in economics, we have something similar called the capacity utilization rate). Assuming 365 days in a year, calculate the annual operating hours of the system. (1) Suppose the new heating system costs $1,650,000 and will last for 25 years and have no salvage value. The company can sign a 25-year contract to get fuel for the heating system at $0.05 kWh. Use the Annual Equivalent method to determine if the company should purchase the new heating system. (6) Suppose we have the same project as in part d) except that the fuel costs are $0.05 kWh in year 1 but increases g = 4% per year over the life of the fuel contract. Use the Annual Equivalent method to determine if the company should purchase the new heating system. (8)