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Five possible projects are being considered as potential parts of a capital budget. Binary variables x1, x2, x3, x4, x5 represent the decision of whether selecting each project or not.
a) What linear constraint must be added to ensure that "when project 5 is selected, then either project 1 or project 2 may be selected but not both"? (Please note that project 1 and project 2 cannot be selected unless project 5 is selected).
b) What linear constraint must be added to ensure that "if project 4 is selected, then either project 3 or project 2 or both may be selected"? (Please note that project 3 and project 2 cannot be selected unless project 4 is selected).
c) What linear constraint must be added to ensure that "if projects 3 and 5 are chosen, project 2 must be chosen"?
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