To calculate the price elasticity of supply (PES) of milk, we use the formula:

Economics

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Answer

1.29

Step-by-step solution

4 steps

To calculate the price elasticity of supply (PES) of milk, we use the formula:

PES=%ΔQs%ΔPPES = \frac{\%\Delta Q_s}{\%\Delta P}

where %ΔQs\%\Delta Q_s is the percentage change in quantity supplied and %ΔP\%\Delta P is the percentage change in price.

  1. Identify the initial and final quantities and prices from the text.

    Initial Quantity (Q1Q_1) = 62 million litres
    Final Quantity (Q2Q_2) = 98 million litres
    Initial Price (P1P_1) = 40 US cents
    Final Price (P2P_2) = 58 US cents

  2. Calculate the percentage change in quantity supplied (%ΔQs\%\Delta Q_s).

    %ΔQs=Q2−Q1Q1×100%=98−6262×100%=3662×100%≈58.06%\%\Delta Q_s = \frac{Q_2 - Q_1}{Q_1} \times 100\% = \frac{98 - 62}{62} \times 100\% = \frac{36}{62} \times 100\% \approx 58.06\%
  3. Calculate the percentage change in price (%ΔP\%\Delta P).

    %ΔP=P2−P1P1×100%=58−4040×100%=1840×100%=45%\%\Delta P = \frac{P_2 - P_1}{P_1} \times 100\% = \frac{58 - 40}{40} \times 100\% = \frac{18}{40} \times 100\% = 45\%
  4. Calculate the Price Elasticity of Supply (PES).

    PES=58.06%45%=0.58060.45≈1.29PES = \frac{58.06\%}{45\%} = \frac{0.5806}{0.45} \approx 1.29

    The price elasticity of supply of milk is approximately 1.29.

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