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Calculate the Average Physical Product (APP) and Marginal Physical Product (MPP) using the provided formulas and data.

Economics

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Okay, let's continue with the calculations for Application 2.

The formulas are:

  • Produit Physique Moyen (PPM): PPM=Produit physique total (PPT)Nombre d’uniteˊ de travail (L)PPM = \frac{\text{Produit physique total (PPT)}}{\text{Nombre d'unité de travail (L)}}
  • Produit Physique Marginal (PPm): PPm=ΔPPTΔL=PPTn−PPTn−1Ln−Ln−1PPm = \frac{\Delta \text{PPT}}{\Delta \text{L}} = \frac{\text{PPT}_n - \text{PPT}_{n-1}}{\text{L}_n - \text{L}_{n-1}}

  1. Calculate the Produit Physique Moyen (PPM) for each data point.

    • Pour L = 0, PPT = 0: PPM est indéfini.
    • Pour L = 300, PPT = 1: PPM=1300≈0.0033PPM = \frac{1}{300} \approx 0.0033
    • Pour L = 600, PPT = 2: PPM=2600≈0.0033PPM = \frac{2}{600} \approx 0.0033
    • Pour L = 2200, PPT = 4: PPM=42200≈0.0018PPM = \frac{4}{2200} \approx 0.0018

  2. Calculate the Produit Physique Marginal (PPm) for each data point.

    • Pour L = 0, PPT = 0: PPm n'est pas applicable (pas de point précédent).
    • Pour L = 300, PPT = 1: PPm=1−0300−0=1300≈0.0033PPm = \frac{1 - 0}{300 - 0} = \frac{1}{300} \approx 0.0033
    • Pour L = 600, PPT = 2: PPm=2−1600−300=1300≈0.0033PPm = \frac{2 - 1}{600 - 300} = \frac{1}{300} \approx 0.0033
    • Pour L = 2200, PPT = 4: PPm=4−22200−600=21600=1800=0.00125PPm = \frac{4 - 2}{2200 - 600} = \frac{2}{1600} = \frac{1}{800} = 0.00125

  3. Complete the table with the calculated values.

    Since the last column's values for "Nombre d'unité de travail" and "Produit physique total" are missing, the PPM and PPm for that column cannot be calculated.

    Nombre d’uniteˊ de travail (L)03006002200Produit physique total (PPT)0124Produit Physique Moyen (PPM)Indeˊfini0.00330.00330.0018Produit Physique Marginal (PPm)N/A0.00330.00330.00125\begin{array}{|c|c|c|c|c|c|} \hline \textbf{Nombre d'unité de travail (L)} & 0 & 300 & 600 & 2200 & \\ \hline \textbf{Produit physique total (PPT)} & 0 & 1 & 2 & 4 & \\ \hline \textbf{Produit Physique Moyen (PPM)} & \text{Indéfini} & 0.0033 & 0.0033 & 0.0018 & \\ \hline \textbf{Produit Physique Marginal (PPm)} & \text{N/A} & 0.0033 & 0.0033 & 0.00125 & \\ \hline \end{array}
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