An Investor Has $450,000 to Invest in Two Types of Investments.Type

An investor has $450,000 to invest in two types of investments.Type A pays 6% annually and type B pays 7% annually.To have a well-balanced portfolio, the investor imposes the following conditions.At least one-third of the total portfolio is to be allocated to type A investments and at least one-third of the portfolio is to be allocated to type B investments.What is the optimal amount that should be invested in each investment?

A) $160,000 in type A (6%) , $290,000 in type B (7%)
B) $0 in type A (6%) , $450,000 in type B (7%)
C) $450,000 in type A (6%) , $0 in type B (7%)
D) $300,000 in type A (6%) , $150,000 in type B (7%)
E) $150,000 in type A (6%) , $300,000 in type B (7%)