ADVANCED MATH (Please "write" the solutions leigibly and correctly. No long explanation needed. Rate will be given) John Smith works for an investment company and is currently negotiating with three potential investors. The company offers two types of investment instrument available for new investors. Instrument alpha pays 10% anually. Instrument beta, on the other hand, pays 20% anually. Investors are allowed to divide their investments between these instruments such that a desired range ot total return between 10% to 20% is acheved. Suppose that the total investment that the total investment of investor 1, investor 2, and investor 3, is Php20,000, Php50,000 and Php10,000, respectively. How much should each investor put money into each instrument? Investor 1: Instrument alpha = Php                       ? Instrument beta = Php                         ?   Investor 2: Instrument alpha = Php25,000 Instrument beta = Php25,000   Investor 3: Instrument alpha = Php                          ? Instrument beta = Php                            ?

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