A corporation wants to conduct an IPO and become publicly traded. The company wants to sell $10$ million shares at a price of $$12$ per share. An investment bank agrees to underwrite the issue using a best efforts offering. The bank concludes that they can sell $10$ million shares at a price of $$9$ per share. In addition, the investment bank charges $$0\mathrm{.}50$ per share in commission. What is the profit to the investment bank from this transaction?

Multiple Choice

$$ $$30$ million

$$ $$5$ million

$$ $$4\mathrm{.}5$ million

$-$$$30$ million