2. (14 points) You are considering two types of batteries. Type A costs $20 per battery and lasts for 8,760 hours. Type B lasts for 26,280 hours. Suppose that you are planning to use one of these batteries for your long-term project. Annual required rate of return is 10%. Ignore depreciation considerations. Suppose that you need to start operating one of the batteries tomorrow. (a) (7 points) What should the price of battery B be to make it more attractive to you? (b) (7 points) Suppose that your project will only last for 12 years, after which you are planning to stop your business and retire. How does answer your answer change? Briefly explain your result