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An Investor Has $500,000 to Invest and Wants to Maximize

Question 31

Essay

An investor has $500,000 to invest and wants to maximize the money they will receive at the end of one year. They can invest in condos, apartments and houses. The profit after one year, the cost and the number of units available are shown below.
Formulate the ILP for this problem.
 Profit  Cost  Number Variable  Investment ($1,000)($1,000) Available X1 Condos 65010X2 Apartments 12905X3 Houses 91007\begin{array}{clccc}&& \text { Profit } & \text { Cost } & \text { Number}\\\text { Variable } & \text { Investment } & (\$ 1,000) & (\$ 1,000) & \text { Available } \\\hline \mathrm{X}_{1} & \text { Condos } & 6 & 50 & 10 \\\mathrm{X}_{2} & \text { Apartments } & 12 & 90 & 5 \\\mathrm{X}_{3} & \text { Houses } & 9 & 100 & 7\end{array}

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