BMS Ltd$.$ had $2,200,000$ average shares outstanding during all of $2017.$ During $2017,$ BMS also had $50,000$ options outstanding with exercise prices of $$17$ each. The average stock price of BMS during $2017$ was $$21.$ This company also had $1,000$ shares of preferred stock outstanding $(10\%,$ $$100$ par value$)$ for the entire year, which are each convertible into $20$ shares of common stock. If net income of the company was $500,000,$ what is the diluted earnings per share for $2017?$

A$.$

$$0\mathrm{.}224$

B$.$

$$0\mathrm{.}220$

C$.$

$$0\mathrm{.}226$

D$.$

$$0\mathrm{.}225$