A company faces the following investment alternatives:
Project Capital Investment Cash Flows from Investment
I $7 million $1.2 million per year in perpetuity
II $12 million $1.5 million per year in perpetuity
III $16 million $2.2 million per year in perpetuity
IV $10 million $1.4 million per year in perpetuity
V $11 million $1.6 million per year in perpetuity
If the company's budget is $30 million, use the profitability index to determine the best combination of investments, given a cost of capital of 5%.
Please show all work.