An investment firm offers three types of investments to its clients. To help a client make a better-informed decision, each investment is assigned a risk factor. The risk factor and expected return of each investment are the following:

Investment A: 12% return per year, risk factor=0.50 Investment

B: 15% return per year, risk factor=0.75 Investment

C: 9% return per year, risk factor=0.40 A client wishes to invest up to $50,000.

He wants an annual return of at least $6300 and at least $10,000 invested in type C investments. How much should be invested in each type to minimize his total risk? (Note: If $20,000 is invested in A, that risk totals 0.5020000=10000.)