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Question 3 : Set - covering problems Player Cost ( million ) Victory Left / Right Hand RS 6 $ 6 Right BS 4 $
Question : Setcovering problemsPlayer CostmillionVictory LeftRightHandRS $ RightBS $ LeftDE $ RightST $ LeftTS $ RightThe New York Yankees are trying to determine which of the following free agent pitchers should besigned: Rick Sutcliffe RS Bruce Sutter BS Dennis Eckersley DE Steve Trout ST Tim StoddardTS The cost of signing each player and the number of victories each pitcher will add to New YorkYankees are shown in the table below. Subject to the following restrictions, the New York Yankeeswish to sign the pitchers who will add the most victories to the team. Formulate the mathematicalmodel that decides who should they sign.Restriction : At most $ million can be spent.Restriction : If DE and ST are signed, then BS cannot be signed.Restriction : At most two righthanded pitchers can be signed.Restriction : New York Yankees cannot sign both BS and RSRestriction : If TS is signed, then ST should be signed.
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