$42$ Several years ago, Sonja purchased $250$ shares of Sugar Inc at a price of $$14$ per share. Recently, she wrote a covered call for $250$ shares of Sugar. The December call carries a strike price of $$20$ at a premium of $$2\mathrm{.}25$ per share. Ignoring commissions, if the call option is exercised, what is Sanja's total gain?

a$)$ $$937\mathrm{.}50$

b$)$ $$1,500\mathrm{.}00$

c$)$ $$2,062\mathrm{.}50$

d$)$ $$4,062\mathrm{.}50$