Your sister is thinking about starting a new business. The company would require $$425,000$ of assets, and it would be financed entirely with common stock. She will go forward only if she thinks the firm can provide a $13\mathrm{.}5\%$ return on the invested capital, which means that the firm must have an ROE of $13\mathrm{.}5\%.$ How much net income must be expected to warrant starting the business?

$$49,916$

$$63,686$

$$66,555$

$$57,375$

$$55,654$