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If at most 3 of 7 projects are to be performed, this can be modeled by X1 + X2 + X3 + X4 + X5 + X6 + X7 3, where X1, X2, X3, X4, X5, X6, and X7 are all restricted to be non-negative, have an upper bound of 1, and be integer-valued.
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