An investor has at most $$$$50,000$ to invest in government$$ bonds,

mutual$$ funds, and money market funds. The average yields for the

government$$ bonds, mutual$$ funds, and money market funds are $2\%,$

$10\%,$ and $5\%$ respectively. The$$ investor's policy requires that

the total amount invested in mutual and money market funds not

exceed the amount invested in government bonds. How much should be

invested in each type of investment in order to maximize the$$

return? What is the maximum return in the first$$ year?$$