Castles in the Sand currently sells at a price$-$earnings multiple of $24.$ The firm has $2$ million shares outstanding and sells at a price share of $$60.$ Firm Foundation has a P$/$E multiple of $12,$ has $1$ million shares outstanding, and sells at a price per share of $$30.$

a$.$ If Castles acquires the other firm by exchanging one of its shares for every two of Firm Foundation, what will be the earning share of the merged firm?

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

b$.$ What will be the price per share for Castle?

Note: Do not round intermediate calculations.

c$.$ What would be Firm Foundation's value of stock post merger?

Note: Do not round intermediate calculations. Enter your answer in millions.

d$.$ What should be the $\frac{P}{E}$ of the new firm if the merger has no economic gains?

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

e$.$ Calculate Castles' price per share if the market does not realize that the P$/$E ratio of the merged firm ought to differ from Cas premerger ratio.

Note: Do not round intermediate calculations.

f$.$ How are the gains from the merger split between shareholders of the two firms if the market is fooled as in part $($e$)?$ Note: Enter your answers in millions.

$\backslash$table$[[$a$.$ Earnings per share,$3\mathrm{.}00,],[$b$.$ Price per share,$60,],[$c$.$ Value of stock,,million$],[$d$.\frac{P}{E},20\mathrm{.}00,],[$e$.$ Price per share$],[$f$.$ Castles in the Sand $($CS$),,$million$],[$f$.$ Firm Foundation $($FF$),,$million$]]$