The numbers and formulas you are describing make sense but I think that using bots to upvote content is basically a black hat technique that in the long run will fail or be frowned upon, as it's not providing real value to the community.
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Just ran across this post and wanted to link it as it's very relevant:
https://steemit.com/minnowbooster/@minnowbooster/minnowbooster-abuse-cases-defined