Question: Integer Programming: Modeling logical constraints? Considering a project investment optimization problems, with 10 projects who must be either fully invested in or not invested in

Integer Programming: Modeling logical constraints?

Considering a project investment optimization problems, with 10 projects who must be either fully invested in or not invested in at all, model the following constraints. Assume x_i is the binary decision variable for whether or not project i is invested in.

- If project 8 is invested in, then either project 9 or project 10 must also be invested in.

- If either project 1 or project 2 is invested in, then neither project 8 nor project 9 can be invested in.

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