An investor has up to $750,000 to invest in two types of investments. Type A pays 10% annually and type B pays 7% annually. To have a well-balanced portfolio, the investor imposes the following conditions. At least one-half of the total portfolio is to be allocated to type A investments and at least one-fourth is to be allocated to type B investments. What is the optimal amount that should be invested in each type of investment?

$---------------in type A

$---------------in type B

What is the optimal return? $ -------------------------