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3. (25 pts) An investment company is presented with five investment opportunities, with the following expenses and returns (in thousands of dollars). The total capital

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3. (25 pts) An investment company is presented with five investment opportunities, with the following expenses and returns (in thousands of dollars). The total capital available for investment is $25,000. If the company's investment portfolio includes investment 2 , it must also select investment 4 . Investments 2 and 3 , on the other hand, are mutually exclusive. Either investment 1 or investment 5 must be undertaken, but not both. Write an integer programming model to select the combination of capital investments that will maximize the total return

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