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

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.
$\begin{array}{rrrrr}&&\text { Profit}&\text { Cost }&\text { Number }\\\text { Variable } & \text { Investment } & \$ 1,000) & \$ 1,000) & \text { Available } \\\hline \mathrm{X}_{1} & \text { Condos } & 6 & 50 & 10 \\\mathrm{X}_{2} & \text { Apartments } & 12 & 90 & 5 \\\mathrm{X}_{3} & \text { Houses } & 9 & 100 & 7\end{array}$

Correct Answer:

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MAX: 6 X₁ + 12 X₂ + 9 X₃
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