In $20$X$4,$ Wilson Company has net income of $$50,000$ and the weighted average common shares outstanding is $15,000.$ Additionally, the company has cumulative convertible preferred stock and $4,000$ options, where each option allows the holder to purchase one share of stock for $$16$ per share. The preferred stock pays an annual dividend of $$2,000$ and can be converted to $2,500$ shares of common stock. The company's average share price during the year was $$12$ and its tax rate is $25\%.$ Compute diluted EPS for $20$X$4.$

A$.)$ $$2\mathrm{.}86$

B$.)$ $$2\mathrm{.}70$

C$.)$ $$3\mathrm{.}20$

D$.)$ $$2\mathrm{.}68$