{
  "recorded_before_calculation_at_utc": "2026-10-28T23:53:47.420009+00:00",
  "timestamp_status": "Actual pre-calculation execution time",
  "id": "KDP-E01",
  "working_title": "The Kindle royalty crossover: file size, cent rounding and the parentheses that matter",
  "question": "For a zero-VAT Amazon.com transaction eligible for either royalty option, where does the rounded per-copy 70% royalty equal or fall below 35% as the platform-priced file size increases?",
  "classification": "Deterministic policy-based scenario analysis, not empirical market research or measured author income.",
  "source_parameters": {
    "marketplace": "Amazon.com",
    "currency": "USD",
    "customer_vat": 0,
    "delivery_rate_per_platform_priced_mb": "0.15",
    "minimum_delivery_charge": "0.01",
    "eligible_70_list_price_min": "2.99",
    "eligible_70_list_price_max": "12.99",
    "price_band_effective_date": "2026-07-07",
    "correct_70_formula": "0.70 * (P - D)",
    "correct_35_formula": "0.35 * P",
    "hypothetical_alternative_formula": "0.70 * P - D",
    "rounding_statement": "Source specifies two decimal places for USD delivery cost and royalty, but not exact half-cent tie mode.",
    "size_statement": "Source says Amazon-determined MB and upward rounding to the nearest KB. This model accepts hypothetical platform-priced MB; it does not convert uploaded bytes, KB or KiB."
  },
  "predeclared_grid": {
    "list_prices": [
      "2.99",
      "3.99",
      "4.99",
      "5.99",
      "6.99",
      "7.99",
      "8.99",
      "9.99",
      "10.99",
      "11.99",
      "12.99"
    ],
    "platform_priced_mb": "0.1 through 50.0 inclusive, increments0.1; no source sample or real files.",
    "delivery_cost_grid": "For each price, D from0.01 toP in0.01USD increments, used to identify exact cent-charge tie zones independently of byte units.",
    "rounding_conventions": [
      "nearest-cent ROUND_HALF_UP illustrative",
      "nearest-cent ROUND_HALF_EVEN sensitivity"
    ],
    "excluded_cases": "Any rounded delivery cost >= list price is labelled outside modeled positive-net range; no negative royalty, zero-floor or amount-owed inference.",
    "decision_labels": [
      "70 greater",
      "rounded tie",
      "35 greater",
      "outside positive-net model"
    ]
  },
  "predeclared_outputs": [
    "Complete5500row scenarioCSV with both rounding conventions and hypothetical-formula sensitivity.",
    "11price boundary table: algebraic unrounded crossing in platform-priced MB, cent-charge tie interval, first cent-charge for which35isgreater.",
    "Standalone SVG: crossing frontier across current price band, explicitly modelled units.",
    "Standalone SVG: exact examples at5.99USD showing fee placement and35comparison.",
    "Standalone SVG: count of predeclared scenarios whose option ordering changes between correct and hypothetical alternative formula; model-grid count, never authors or sales.",
    "Accessible HTML tables, reproducible Decimal code and scientific brief."
  ],
  "eligibility_conditions": [
    "All non-price70%eligibility conditions are assumed satisfied; not verified for a real book.",
    "Customer is in an eligible territory. Marketplace alone does not establish residency or eligibility.",
    "Not primarily public-domain content; distribution rights and physical-edition price restriction must hold.",
    "No price matching, preorder guarantee adjustment, promotion, refund, bad debt, withholding or other transaction adjustment.",
    "No KDP Select, Kindle+ or KU income is modelled."
  ],
  "novelty_boundary": "Existing calculators and articles already describe delivery costs, the basic crossover and2026price band. This work adds a reproducible bounded grid, cent-charge tie intervals and an explicit formula-placement sensitivity; no first-ever or software-error accusation.",
  "publication_status": "Local model pending independent source, method and arithmetic review. No website or account changes."
}