The Greenville Ride have $19 million available to sign free agent pitchers for the next season. The following table provides the relevant information for eight pitchers who are available for signing, such as whether each throws right or left handed, whether each is a starter or reliever, the cost in millions of dollars to sign each, and the relative value of each on the market on a scale of 1 to 10 (10 = highest).

The Ride feel the following needs exist for next season: (1) at least two right-handed pitchers, (2) at least one left-handed pitcher, (3) at least two starters, and (4) at least one right-handed reliever. Who should the Ride try to sign, if their objective is to maximize total value?

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START/ COST PITCHER THROWS RELIEF (MILLIONs) VALUE $9 $4 $5 $5 $6 S3 $8 $2