Linear Programming (Investment) Example

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A8. An entering college student has $5000 to invest now that will be used to begin a small business upon graduation 4 years in the future. At the beginning of each year he can invest in 1-, 2-, or 3-year time deposits. The bank he deals with exclusively pays. 10 percent on a 1-year deposit, 22 percent (total) on a 2-year deposit, and 35 percent (total) on a 3-year deposit. Formulate a linear programming model to determine how to maximize total available cash at the end of the fourth year. There are severe penalties for early withdrawal of funds.

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