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A 60 years old man would like to invest his retirement account funds in different investment opportunities such that after 15 years when he withdraws

A 60 years old man would like to invest his retirement account funds in different
investment opportunities such that after 15 years when he withdraws the funds, he gets maximum profit. Assume that he knows all the investment possibilities for the next 15 years and also he only invests all his funds in a single alternative. Formulate this investment planning problem as a shortest path problem.
(have to be can be written on paper not computer, thank you)

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