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ualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired
ualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $650,000 from an inheritance. Characteristics of the funds are given in the table below. Qualis Mutual Fund Data Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Multinational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced Fund 3.50% 6.91 The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 25% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively. Which of the following is the objective function minimize total risk? 11.87 X 1 + 12.62 X 2 + 13.72 . X 3 + 3.37 X 4 + 8.4 X 5 + 6.91 X 6 / 750,000 11.87 X 1 + 12.62 X 2 + 13.72 . X 3 + 3.37 X 4 + 8.4 X 5 + 6.91 X 6 11.87 X 1 + 12.62 X 2 + 13.72 . X 3 + 3.37 X 4 + 8.4 X 5 + 6.91 X 6 / 650,000 7.23 X 1 + 8.42 X 2 + 6.66 . X 3 + 2.72 X 4 + 8.89 X 5 + 3.5 X 6 6%
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