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?

a$.$ $$49,916$

b$.$ $$63,686$

c$.$ $$66,555$

d$.$ $$57,375$

e$.$ $$55,654$