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In a capital budgeting problem, a decision maker having a limited amount of budget is...

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Finance

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 X_i is a binary variable, which equals 1 if project i 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+XBXC

B) 1-XCXA+XB

C) 1-XCXA,1-XCXB

D) XA+XB1+XC

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