The company has $10,000$ shares of $6\%,$ $$100$ par preferred stock outstanding. In addition, the company has $100,000$ shares of common stock outstanding. The company started business on January $1$ of Year $1.$ Total cash dividends paid during Year $1$ and Year $2$ were $$45,000$ and $$100,000,$ respectively. Compute the total dividends paid to PREFERRED shareholders in both years assuming that the preferred stock is CUMULATIVE.

Year $1=$ $$60,000$; Year $2=$ $$60,000$

Year $1=$ $$45,000$; Year $2=$ $$75,000$

Year $1=$ $$45,000$; Year $2=$ $$40,000$

Year $1=$ $$45,000$; Year $2=$ $$45,000$