$2.$ Pants Incorporated will go going public at $\backslash (\backslash$$ $48\backslash )$ net per share to the company. There also are tounumb stockholders that are selling part of their shares at the same price. Prior to the offering, the firm had $\backslash (\backslash$$ $24\backslash )$ million in earnings divided over $12$ million shares. The public offering will be for $4\mathrm{.}5$ million shares; $2\mathrm{.}8$ million will be new corporate shares and $1\mathrm{.}7$ 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? b$.$ If the stock has a P$/$E of $29$ immediately after the offering, what will the stock price be$?$ c$.$ Should the founding stockholders be pleased with the $\backslash (\backslash$$ $48\backslash )$ they received for their shares?