Hutchins Company had $200,000$ shares of common stock, $50,000$ shares of convertible preferred stock, and $$2,000,000$ of $10\%$ convertible bonds outstanding during the current year. The preferred stock was convertible into $40,000$ shares of common stock.

During the current year, Hutchins paid dividends of $$1\mathrm{.}00$ per share on the common stock and $$2\mathrm{.}00$ per share on the preferred stock. Each $$1,000$ bond was convertible into $50$ shares of common stock. The net income for the year was $$1,000,000$ and the income tax rate was $30\%.$

Diluted earnings per share for the current year was $($rounded to the nearest penny$)$:

a$.$ $$5\mathrm{.}00$

b$.$ $$3\mathrm{.}35$

c$.$ $$3\mathrm{.}06$

d$.$ $$3\mathrm{.}53$