Jordan Broadcasting Company is going public at $$50$ net per share to the company. There also are founding stockholders that are selling part of their shares at the same price. Prior to the offering, the firm had $$30$ million in earnings divided over $10$ million shares. The public offering will be for $5$ million shares; $3$ million will be new corporate shares and $2$ million will be shares currently owned by the founding stockholders.

a$.$ What is the immediate dilution based on the new corporate shares that are being offered?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places.

b$.$ If the stock has a P$/$E of $25$ immediately after the offering, what will the stock price be$?$

Note: Do not round intermediate calculations and round your answer to $2$ decimal places.

$\backslash$table$[[$Stock price,$$,55\mathrm{.}80$