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A mutual fund company must invest $100,000 among three types of investments: bonds, mainstream stocks and speculative stocks. The rates of return are respectively 5%, 7% and 10%. Company policy requires that the investment into any one of the three types cannot exceed 40% and that at least two out of the following three rules must be satisfied:
a) The percentage invested in bonds must be greater than 25%
b) The percentage invested in mainstream stocks must be less than 50%
c) The percentage invested in speculative stocks must be less than 12%
Formulate an Integer Programming model to optimally allocate the $100,000.
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