TKCorp's next target is AUWorks. AUWorks has $5$ million shares outstanding, with a share price of $$10.$ The manager of TKCorp believes that the value of AUWorks will rise by $50\%$ if TKCorp purchases AUWorks and alters the business strategies of AUWorks. TKCorp is going to use a leveraged buyout to control AUWorks. If TKCorp obtains $60\%$ control of AUWorks and expects to have a gain of $$22\mathrm{.}5$ million from this transaction, the offering price for each of AUWorks$$ shares will be closest to:

Select one:

a$.$ $$13\mathrm{.}7$

b$.$ $$12\mathrm{.}5$

c$.$ $$12\mathrm{.}2$

d$.$ $$15\mathrm{.}0$