You work for a leveraged buyout firm and are evaluating a potential buyout of UnderWater Company.$$ UnderWater's stock price is $ $25$ and it has $2\mathrm{.}25$ million shares outstanding.You believe that if you buy the company and replace its$$ management, its value will increase by $41\%.$ You are planning on doing a leveraged buyout of UnderWater and will offer $ $31\mathrm{.}25$ per share for control of the company.

a$.$ Assuming you get $50\%$control$,$ what will happen to the price of$$ non$-$tendered shares?

b$.$ Given the answer in part $($a$),$ will shareholders tender their$$ shares, not tender their$$ shares, or be$$ indifferent?

c$.$ What will your gain from the transaction$$ be$?$