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Maths for Social Science, Mathematics

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A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%. After some consideration, the couple decides to invest at most $12000 in the B+ rated bond and at least $6000 in the AAA bond. They also want the amount invested in the AAA bond to exceed or equal the amount invested in the B+ bond. What should the broker recommend if the couple wants to maximize the return on investment?

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