please explain with detail and provide formulas

Angler Corp. is considering purchasing one of two new processing machines. Either machine would make it possible for the company to produce its products more efficiently than it is currently equipped to do. Estimates regarding each machine are provided below: (a) Calculate the net present value and profitability index of each machine. Assume an 8% discount rate. Which machine should be purchased? (b) Angler Corp. did some further research and found one other possible machine that would produce the same type of production efficiencies. The information regarding Machine C is below: (1) Calculate the net present value and profitability index for Machine C. Use an 8% discount rate. (2) Rank the investments based on net present value. Which machine would be chosen based on this calculation? (3) Rank the investments based on profitability index. Which machine would be chosen based on this calculation? (4) Which machine should be purchased based on all the information provided? Discuss your reasons why