subtraction

The passage around this formula

produces first-order conditions $\tfrac{1}{4}$(264+0.275y) = $\lambda$ = 0.275\,(296+$\tfrac{x}{4}$) , which reduce, after clearing terms, to a single tangency condition independent of the budget size: $y - x = 224$. 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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