2. The company is choosing between machine A and B (they are mutually exclusive and the company can only pick one). The initial cost of machine A is $3,000,000 and it will last for 7 years before it needs to be replaced. The cost of operating machine A each year is $500,000. The initial cost of Machine B is $1,300,000 and it will last for 3 years before it needs to be replaced. The cost of operating machine B is $600,000 in cash flow per year. If the required rate of return is 10%, (a) Calculate the 7 year and 3 year annuity factors at 10% annual interest. (b) Using the annuity_factors, find the PV of Machine A and Machine B including all costs (initial + operating) (c) Which machine is a better choice for the company after considering the different lives of the projects? (Note: be sure to use the equivalent annual annuity method)