{
  "version": "2026-08-04",
  "unites": {
    "depense": "indice 0-300, base 100 au budget actuel",
    "reponse": "indice incremental"
  },
  "support_observe": [0, 50, 100, 150, 200],
  "budget_actuel": 150,
  "profils": [
    {
      "nom": "lineaire",
      "equation": "y = 0.60x",
      "parametres": {"pente": 0.60},
      "reponses": [0, 30, 60, 90, 120, 180],
      "pente_a_200": 0.60,
      "usage": "comparateur local uniquement"
    },
    {
      "nom": "exponentielle",
      "equation": "y = A(1-exp(-bx))",
      "parametres": {"A": 125, "b": 0.01},
      "reponses": [0, 49.18, 79.02, 97.11, 108.08, 118.78],
      "pente_a_200": 0.1692,
      "usage": "rendements decroissants immediats"
    },
    {
      "nom": "hill",
      "equation": "y = A*x^s/(K^s+x^s)",
      "parametres": {"A": 120, "K": 75, "s": 1.8},
      "reponses": [0, 39.06, 75.15, 93.28, 103.22, 112.47],
      "pente_a_200": 0.1362,
      "usage": "seuil puis saturation"
    },
    {
      "nom": "spline_monotone",
      "equation": "interpolation monotone par noeuds",
      "parametres": {"noeuds": [0, 50, 100, 150, 200, 300]},
      "reponses": [0, 44, 77, 96, 107, 114],
      "pente_a_200": 0.10,
      "usage": "flexibilite dans le support"
    }
  ],
  "regle": "Toute recommandation au-dessus de 200 est une extrapolation a tester."
}