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Equation 14 · Part 1 · AI Inference Economics in Practice: An Advanced Technical Guide

Symbol c_od

codc_{\mathrm{od}}
codc_{\mathrm{od}}

What this part means

the effective on-demand cost of the equivalent work.

Its job in the formula

coc_od is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Let PrP_r be the reserved capacity’s price per hour, Qmax⁡Q_{\max} the maximum throughput it sustains per hour at full utilization, and codc_{\mathrm{od}} the effective on-demand cost of the equivalent work.

The passage around this formula

The arithmetic is simple once both prices are in hand, and generalizes across any reserved-capacity product structured this way. Let PrP_r be the reserved capacity’s price per hour, Qmax⁡Q_{\max} the maximum throughput it sustains per hour at full utilization, and codc_{\mathrm{od}} the effective on-demand cost of the equivalent work. At actual utilization u , the effective cost per unit under reservation is PrP_r / (u \, Qmax⁡Q_{\max}) , and reservation wins exactly when

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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