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Question 2 max_(x){b^(T)xc^(T)x

Question 2 max_(x){b^(T)xc^(T)x <= k,x_(i)in{0,1}} There are 10 separate projects, so x={x_(1),x_(2),dots,x_(9),x_(10)}. However, you find that there are certain interdependencies that are not properly represented in the above integer linear program. Project 1 cannot be done, unless at least one of project 4 and project 7 are done. Project 2 cannot be done unless both project 5 and project 8 are done. Project 3 and project 9 cannot both be done, but neither or exactly one of them may be done. Define the additional constraints necessary to achieve the conditions above.

Plz solve on Mathematica

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