Margaret is planning to invest up to $22,000 in certificates of deposit at City Bank and People's Bank. She wants to invest at least $2000 but no more than $14,000 at City Bank. People's Bank does not insure more than a $15,000 investment, so she will invest no more than that in People's Bank. The interest is 6% at City Bank and 6 1/2 % at People's Bank. This is simple interest for one year. How much should she invest in each bank in order to maximize her income? What is the maximum income?