An investment bank agrees to underwrite an issue of $13$ million shares of stock for Looney Landscaping Corporation.

a$.$ The investment bank underwrites the stock on a firm commitment basis, and agrees to pay $$17\mathrm{.}50$ per share to Looney Landscaping Corporation for the $13$ million shares of stock. The investment bank then sells those shares to the public for $$19\mathrm{.}25$ per share. How much money does Looney Landscaping Corporation receive? What is the profit to the investment bank? If the investment bank can sell the shares for only $$15\mathrm{.}50,$ how much money does Looney Landscaping Corporation receive? What is the profit to the investment bank?

b$.$ Suppose, instead, that the investment bank agrees to underwrite the $13$ million shares on a best efforts basis. The investment bank is able to sell $11\mathrm{.}9$ million shares for $$17\mathrm{.}50$ per share, and it charges Looney Landscaping Corporation $$0\mathrm{.}275$ per share sold. How much money does Looney Landscaping Corporation receive? What is the profit to the investment bank? If the investment bank can sell the shares for only $$15\mathrm{.}50,$ how much money does Looney Landscaping Corporation receive? What is the profit to the investment bank?

$($For all requirements, enter your answers in dollars, not in millions. Negative amounts should be indicated by a minus sign.$)$