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x∗=y∗=252x^\ast = y^\ast = 252

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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 because both partial derivatives stay strictly positive everywhere in the feasible region — 83.325 for Attack and 98.725 for Speed, evaluated at the corner itself — the true optimum is not a compromise but the corner:…

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x∗=y∗=252x^\ast = y^\ast = 252

Equation 22 · 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.

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 because both partial derivatives stay strictly positive everywhere in the feasible region — 83.325 for Attack and 98.725 for Speed, evaluated at the corner itself — the true optimum is not a compromise but the corner:…

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