Green Planet Corporation has $5,400$ shares of noncumulative $13\%$ preferred stock with a $$2$ par value and $21,700$ shares of common stock with a $$0\mathrm{.}01$ par value. During its first two years of operation, Green Planet declared and paid the following total cash dividends.

Year $1$ total cash dividends $ $800$

Year $2$ total cash dividends $2,170$

Compute the dividends paid each year to each of the two classes of stockholders assuming that the preferred stock is cumulative.