If you can't do them all, please focus on d, e, and f.

A project requires an initial capital outlay of 30,000 and will return the following amounts (paid at the ends of the next 5 years): 14,000, 12,000, 6,000, 4,000, 2,000. Solve for each of the following. (a) Internal rate of return. (b) Modified internal rate of return assuming a cost of capital of 10% per year. (C) Net present value based on a cost of capital of 10% per year. (d) The payback period. (e) The discounted payback period assuming a cost of capital of 10% per year. (f) The profitability index