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. Thanks.