Tyson Iron Works is about to go public. It currently has

after-tax earnings of $$5,500,000,$ and $3,700,000$ shares are owned by

the present stockholders. The new public issue will represent

$500,000$ new shares. The new shares will be priced to the public at

$$15$ per share with a $2$ percent spread on the offering price. There

will also be $$250,000$ in out$-$of$-$pocket costs to the

corporation.$$a$.$ Compute the net proceeds to Tyson Iron

Works. $($Do not round intermediate calculations and round

your answer to the nearest whole dollar.$)$

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$$b$.$ Compute the earnings per share immediately

before the stock issue. 

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$$c$.$ Compute the earnings per share immediately

after the stock issue.

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$$d$.$ Determine what rate of return must be earned

on the net proceeds to the corporation so there will not be a

dilution in earnings per share during the year of going public.

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$$e$.$ Determine what rate of return must be earned

on the proceeds to the corporation so there will be a $5$ percent

increase in earnings per share during the year of going public.