You have $$39,000$ you would like to invest in two different stocks, Stock Boll and Stock Coff. The buying limit on Stock Coff is $$12,000$ and you want to spend at least

four times as much money on Stock Boll as Stock Coff.

If Stock Boll earns $8\%$ annual interest and Stock Coff earns $4\%$ annual interest, how much money $($in dollars$)$ should you invest in each stock to maximize your annual

interest earned? What is the maximum annual interest $($in dollars$)?$

You will earn a maximum total annual interest of $

if you invest $

in Stock Boll and $

in Stock Coff.