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Biggest problem: Their minor-league system could beat the big-league club...consistently.
Solution: Call the kids up
The Royals have the best farm system in all of baseball, but their big-league club is consistently one of the worst in the league, and although they are off to a solid 16-13 start, they don't have the horses to compete all season.
However, if they 100-percent commit to a youth movement, they could call up 1B Eric Hosmer, 3B Mike Moustakas, SP Mike Montgomery and SP John Lamb, and they may immediately be a better team. If not immediately, they will be within months as that group accustoms itself to life in the big leagues.
Of course, there are the issues with holding players back to push back their arbitration eligibility and what not, and this is not likely to happen. It would make for an interesting shake up, and if nothing else, the baseball world would be much more interested in the Royals.