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Equation 7 · Part 5 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

=

QA=∑iaivi,Q_A=\sum_i a_i v_i,
=

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

Lines of code, commits, pull requests, agent turns, and completed tickets can all rise while value falls. Generated code may duplicate functionality, increase maintenance surface, or shift work into review. The economically relevant throughput is QA=∑iaiviQ_A=\sum_i a_i v_i. where aia_i indicates accepted outcomes that satisfy a quality contract and viv_i weights their value. Weighting is difficult; pretending every ticket is equal is also a weighting choice.

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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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