The New York Yankees are trying to determine which of the following free agent pitchers should be$$signed: Rick Sutcliffe $($RS$),$ Bruce Sutter $($BS$),$ Dennis Eckersley $($DE$),$ Steve Trout $($ST$),$ Tim Stoddard$($TS$).$ The cost of signing each player and the number of victories each pitcher will add to New York$$Yankees are shown in the table below. Subject to the following restrictions, the New York Yankees$$wish to sign the pitchers who will add the most victories to the team. Formulate the mathematical$$model that decides who should they sign.