Question: Portfolio Selection Problem A project manager is considering a portfolio of 5 project investments. The estimated profit for investment opportunity j = 1,2,...,5 is $10,

Portfolio Selection Problem A project manager is considering a portfolio of 5 project investments. The estimated profit for investment opportunity j = 1,2,...,5 is $10, $8, $12, $7, and $9, respectively. Moreover, the estimated capital required for the projects is $15, $10, $18, $12, and $14, respectively. - The total amount of capital available for these investments is $50. - Investment opportunities 3 and 4 are mutually exclusive (if project 3 is funded, then project 4 must not be funded). - Project 5 cannot be undertaken unless either 3 or 4 is undertaken. - At least two and at most four investment opportunities have to be undertaken. - If project 2 is funded, then project 5 must be funded. - If project 3 is funded, then projects 1 and 2 must not be funded. Formulate this problem using an integer programming model

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