An investor has at most $$70,000$ 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 $4\%,2\%,$ and $14\%$ 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?

How much should be invested in government bonds?