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Example The Cubs are trying to determine which of the following free agent pitchers should be signed: Rick Sutcliffe (RS), Bruce Sutter (BS), Dennis Eckersley (DE), Steve Trout (ST), Tim Stoddard (TS). The cost of signing each pitcher and the number of victories each pitcher will add to the Cubs are shown in table below. Subject to the following restrictions, the Cubs want to sign the pitchers who will add the most victories to the team. Cost of Signing Pitcher (S) Pitcher Millions Victories Added to Cubs 6 (righty) RS 6 BS 4 5 (righty) DE 3 (righty) ST 3 (lefty) TS 2 2 (righty) Example At most, $12 million can be spent. If DE and ST are signed, then BS cannot be signed. At most two right-handed pitchers can be signed. The Cubs cannot sign both BS and RS. If RS is signed, then TS cannot be signed. If DE is signed, then ST must be signed. If BS is signed, then DE and TS both must be signed. Formulate an IP to help the Cubs determine who they should sign. 3 2