Jamaal is planning to invest up to $16,000 in City Bank or State Bank. He wants to invest atleast $2000 in City Bank, but not more than $6000; since State Bank does not insure more than $13,000, he wants to invest no more than this amount in State Bank. The interest at City Bank is 7%, and the interest at State Bank is 9%. How much should he invest in each bank to earn the most interest?

Question

Jamaal is planning to invest up to  $16,000 in City Bank or State Bank.  He wants to invest atleast $2000 in City Bank, but not more than $6000; since State Bank does not insure more than $13,000, he wants to invest no more than this amount in State Bank.  The interest at City Bank is 7%, and the interest at State Bank is 9%. How much should he invest in each bank to earn the most interest?