Use Linear Programming to solve the following MLB optimization problem:
Objective: Based on the 2021 season, maximize each team's total Jeff Bagwell War
Constraints:
- only 25 players allowed per team
- 5 starting pitchers
- 7 relief pitchers
- 2 catchers
- 5 infielders (at least 1 1B, 1 2B, 1 3B, and 1 SS)
- 5 outfielders (at least 1 LF, 1 CF, and 1 RF)
- 1 designated hitter
- each team can only spend as much as they actually spent in 2021
The output will be the 25 players for each of the 30 teams (750 players in total, likely repeats) as well as their total war and salary