Symbol y
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produces first-order conditions (264+0.275y) = = 0.275\,(296+) , which reduce, after clearing terms, to a single tangency condition independent of the budget size: . The unconstrained-by-caps answer, in other words, wants Garchomp’s invested Speed to run 224 points ahead of its invested Attack — a gap wider than the entire 252-point ceiling on either stat individually. That single number is the whole explanation for why the observed spread looks like a blunt “max both” instinct rather than a delicate balance: a 224-point desired gap cannot fit inside a box only 252 points wide on a side, so the interior tangency point is infeasible, and…
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Equation 19 · Game-Mechanic Economics
The EV Formula Is an Exact Production Function Trainers Solved by Accident
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
produces first-order conditions (264+0.275y) = = 0.275\,(296+) , which reduce, after clearing terms, to a single tangency condition independent of the budget size: . The unconstrained-by-caps answer, in other words, wants Garchomp’s invested Speed to run 224 points ahead of its invested Attack — a gap wider than the entire 252-point ceiling on either stat individually. That single number is the whole explanation for why the observed spread looks like a blunt “max both” instinct rather than a delicate balance: a 224-point desired gap cannot fit inside a box only 252 points wide on a side, so the interior tangency point is infeasible, and…