5. (30 points) "Logrolling" is a phenomenon in which elected representatives trade votes with one another. For instance, Representative A may be willing to vote for Representative B's prefered policy, even if A doesn't like it, provided that B will vote for Representative A's prefered policy, even if B doesn't like it. Suppose we have the follwing three projects up for vote: A naval ship, a hospital, and a park. There are three representatives who will individually vote on the projects. The net social benefits to the constituents of each representative are given in the table below