A water resources development agency is considering nine projects, called projects A-I. The agency cannot implement more than 4 projects, except a total of 5 projects can be implemented if both A and H are included. Implementation of A and B are contingent on implementation of C. Also, D cannot be selected unless both F and G are selected. A and D cannot both be adopted; if either A or D is implemented, the other cannot be implemented. If F is selected, neither B nor H can be selected. Each project, if implemented, would result in the discounted annual net benefits indicated by the table below.
Formulate and solve a zero-one LP model to select a set of projects that maximize net benefits while meeting all constraints
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