Archimedes Levers $($Ticker: AL$)$ is financed $60\%$ with debt and $40\%$ with equity. AL$$s cost of debt is $8\%$ and AL$$s cost of equity is $20\%.$ If the tax rate is $20\%,$ what would AL$$s cost of equity be if they were to pay off all their debt and become all$-$equity financed, but not change the left side of the balance sheet? $.$

A$.12\mathrm{.}8\%$

B$.9\mathrm{.}0\%$

C$.20\mathrm{.}0\%$

D$.14\mathrm{.}0\%$

E$.11\mathrm{.}8\%$