Speedy Delivery Systems can buy a piece of equipment that is anticipated to provide an $8$ percent return and can be financed at $5$ percent with debt. Later in the year, the firm turns down an opportunity to buy a new machine that would yield a $12$ percent return but would cost $14$ percent to finance through common equity. Assume debt and common equity each represent $50$ percent of the firm$$s capital structure.

Compute the weighted average cost of capital.