Question: Write a linear programming model, including the objective function and the set of constraints, for Problems 52-55. DO NOT SOLVE, but be sure to define

Write a linear programming model, including the objective function and the set of constraints, for Problems 52-55. DO NOT SOLVE, but be sure to define all your variables.

Brown Bros., Inc. is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $\$ 10$ million to invest in two places: no more than $\$ 8$ million in stocks yielding $12 \%$, and at least $\$ 2$ million in long-term bonds yielding $8 \%$. The stock-to-bond investment ratio cannot be more than 3 to 1 . How should Brown Bros. advise its client so that the investments yield the maximum yearly return?

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