In a capital budgeting problem, a decision maker having a limited amount of budget is considering to give financial support to research project A, B, C, D and E. Suppose  is a binary variable, which equals 1 if project  is chosen and 0 otherwise.  Which of the following logical constraints correctly models the requirement that “If Project C is not chosen, Then Projects A and B must be chosen”? A.    Xa +Xb <= Xc B.    1- Xc <= Xa +Xb C.  1- Xc <= Xa , 1- Xc <= Xb D.  Xa +Xb <= 1 + Xc

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.