Soit p = f(k, l) une fonction de production où le produit « P » est obtenu à l’aide de la combinaison de deux quantités de facteurs K et L. En courte période, on admet que le stock de capital K reste constant.
Donnez l’expression de « p » en courte période. Soit alors le tableau ci-dessous qui nous donne la valeur de p de courte période où le facteur « L » est exprimé en heures de travail (h).
![](data:image/png;base64,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)
- Trouvez la productivité horaire pour les valeurs de « L » suivantes (L=2, L=5 et L=8).
- Calculez à partir des données du tableau ci-dessus la productivité physique moyenne (PPM) et la productivité physique marginale (PPmg).
- Représentez sur un même graphique les trois courbes de productivité (PT, PM et Pmg).