An investment bank agrees to underwrite an issue of $18$ million shares of stock for Looney Landscaping Corporation.

a$.$ The investment bank underwrites the stock on a firm commitment basis, and agrees to pay $$10\mathrm{.}00$ per share to Looney Landscaping

Corporation for the $18$ million shares of stock. The investment bank then sells those shares to the public for $$11\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 $$8\mathrm{.}25,$ 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 $18$ million shares on a best efforts basis. The investment bank

is able to sell $16\mathrm{.}5$ million shares for $$10\mathrm{.}00$ per share, and it charges Looney Landscaping Corporation $$0\mathrm{.}325$ 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 $$8\mathrm{.}25,$ 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.$)$