Unida Systems has $47$ million shares outstanding trading for $ $12$ per share. In$$ addition, Unida has $ $81$ million in outstanding debt. Suppose$$ Unida's equity cost of capital is $16\%,$ its debt cost of capital is $8\%,$ and the corporate tax rate is $34\%.$

a$.$ What is$$ Unida's unlevered cost of$$ capital?

b$.$ What is$$ Unida's after$-$tax debt cost of$$ capital?

c$.$ What is$$ Unida's weighted average cost of$$ capital?