5 infielders for Carmona?

[tolbiny]

Ignoring offensive output for the moment.

How dramatic would a players GB/FB ratio have to be for a defensive set up with 5 infielders and 2 outfielders when he was pitching? This year Fausto Carmona had a 3.28 GB/FB ratio. He recorded 476 GO and 137 SO and 16 HR out of 879 PA against him. That leaves 387 balls that made it to the outfield (or were infield popouts/lineouts/foulouts, don't know where to find these #s).

Carmona gave up 183 hits (excluding HRs)- so how many of these would have to be stopped by an extra infielder to make it worthwhile for all the extra hits given up + the extra bases added on to those hits he does give up.

Anything I'm missing in trying to figure this out? I would assume his outfield would be Sizemore + Gutierrez.