If 20,000 shares of common stock are authorized, 14,000 shares are issued, and 500 shares are held in treasury stock, a cash dividend of $1.00 per share would amount to $14,000. Is that statement TRUE.

Ignore the authorized numbers. That just means the number of shares the board of directors authorized to issue, i.e. what they could issue. You will not ever actually use that number. (Except as part of the descriptive stuff they put on a balance sheet.)

Dividends are paid on outstanding shares. When the company buys back its own stock, that is treasury stock. It is still issued, but it is no longer outstanding. Outstanding is what is owned by others and not by the company. So how many shares outstanding do you have?

If the dividend is only paid on outstanding shares, then how much would you have in total?