You can get well under $2 a shot if you consider you can get 10+ reloads out of Lapua brass.
There is one guy that shoots the 338 matches in Raton that has a savage. He seems happy with it.
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About 1.25 to 1.75 depending on components and brass life . The Savage rifles in 338 have had chamber issues . The 2 that I have seen were both sticking case's . The one the guy has sold it and got a TRG .