Unida Systems has $33$ million shares outstanding trading for $$10$ per share. In addition, Unida has $$110$ million in outstanding debt. Suppose Unida's equity cost of capital is $13\%,$ its debt cost of capital is $9\%,$ and the corporate tax rate is $33\%.$

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?