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Equation 16 · The Real Economics of Shipping a Model to a Device

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cdc_{d}

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the marginal cost of one additional on-device inference and ccloudc_{\mathrm{cloud}} as the marginal cost of one additional cloud-served inference of the same model. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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cdc_{d}

Symbol c_d

the marginal cost of one additional on-device inference and ccloudc_{\mathrm{cloud}} as the marginal cost of one additional cloud-served inference of the same model.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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This is the same fixed-cost-against-marginal-cost structure that governs any make-versus-buy or capital-versus-operating-expense decision, and it is the structure Qualcomm’s marginal-cost claim silently assumes has already been paid off. Palkhiwala’s statement that an extra inference event is “effectively free” once the device is purchased is a claim about cdc_{d} alone; it says nothing about CdevC_{\mathrm{dev}} or U , both of which are paid by the model’s operator, not amortized into the price the customer already paid for the phone. Qualcomm’s own public argument for why ccloudc_{\mathrm{cloud}} matters so much elsewhere in this equation is worth pairing with the CFO’s quote: the company’s 2023…
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This is the same fixed-cost-against-marginal-cost structure that governs any make-versus-buy or capital-versus-operating-expense decision, and it is the structure Qualcomm’s marginal-cost claim silently assumes has already been paid off. Palkhiwala’s statement that an extra inference event is “effectively free” once the device is purchased is a claim about cdc_{d} alone; it says nothing about CdevC_{\mathrm{dev}} or U , both of which are paid by the model’s operator, not amortized into the price the customer already paid for the phone. Qualcomm’s own public argument for why ccloudc_{\mathrm{cloud}} matters so much elsewhere in this equation is worth pairing with the CFO’s quote: the company’s 2023 hybrid-AI position paper states that “generative AI-based search cost per query is estimated to increase by 10 times compared to traditional search methods” [ 9 ] — a claim, again, from a party that benefits from cloud inference looking expensive, but directionally consistent with why ccloudc_{\mathrm{cloud}} - cdc_{d} is large enough for the equation above to ever favor the device at all.

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