Problem:
My portfolio which has a beta of 1.14 consists of three mutual funds: an international fund, a utility fund, and a technology fund. The international fund has a beta of 1.5 and makes up to 20% of the portfolio. The utility fund has a beta of 0.5 and the technology fund has a beta of 1.3. If the portfolio's beta equals 1.14, how much of my portfolio is invested in the technology fund?
Please show work.