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Q.2 A company is considering seven capital investments i = 1,..., 7. Each investment can...

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Q.2 A company is considering seven capital investments i = 1,..., 7. Each investment can be done only once, which is indicated by 0 - 1 variables x;: X; = 1, if investment opportunity i is selected, X; = 0, otherwise. Model the following constraints. (a) The company cannot select all seven investments. (b) Investment 1 cannot be selected if investment 3 is selected. (c) Investment 4 can be selected only if investment 2 is selected. (d) The company should select either both investments 1 and 5, or neither. (e) The company should select either at least one of the investments 1, 2, 3, or at least two investments from 2, 4, 5, 6

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