A Trust Account Manager Has $220,000 to Be Invested

Multiple Choice

A trust account manager has $220,000 to be invested. The investment choices have current yields of 8%, 7%, and 10%. Suppose that the investment goal is to earn interest of $16,600, and risk factors make it prudent to invest some money in all three investments. If $30,000 is invested at 10%, how much will be invested at each of the other rates? ​

A) $50,000 at 8%; $140,000 at 7%;
B) $20,000 at 8%; $170,000 at 7%;
C) $30,000 at 8%; $160,000 at 7%;
D) $10,000 at 8%; $180,000 at 7%;
E) $40,000 at 8%; $150,000 at 7%