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Equation 22 · Part 3 · The EV Formula Is an Exact Production Function Trainers Solved by Accident

=

x∗=y∗=252x^\ast = y^\ast = 252
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

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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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.