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Pr/(u Qmax⁡)P_r / (u \, Q_{\max})

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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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Pr/(u Qmax⁡)P_r / (u \, Q_{\max})

Equation 16 · Inference Economics

AI Inference Economics in Practice: An Advanced Technical Guide

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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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