A corporation declared a $$0\mathrm{.}50$ per share cash dividend on its common shares. The company has $20,000$ shares authorized, $9,000$ shares issued, and $8,000$ shares of common stock outstanding. The total amount of the cash dividend is:

$$ $$4,000$

$$10\mathrm{.}000$

$$4,500$

$$5,500$

$$6,000$