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Equation 22 · Part 7 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

fraction

AC(N)=FN+c.AC(N)=\frac{F}{N}+c.
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

If fixed deployment cost is F , variable cost per accepted task is c , and N accepted tasks use the platform, average cost is AC(N)=FN+cAC(N)=\frac{F}{N}+c. Large organizations can amortize F across more work, but they also face heterogeneity: more languages, repositories, regulatory zones, and legacy environments can make fixed cost rise with scope. A small team can achieve high local value precisely because it standardizes one stack and keeps governance informal. Neither scale advantage is universal.

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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