Drawing and interpretation of disequilibrium using demand and supply curves

📚 The Allocation of Resources – Price Determination

🔍 Objective

Learn how to draw and interpret disequilibrium situations using demand and supply curves.

📈 Demand & Supply Basics

In a simple market, the price is set where the quantity demanded equals the quantity supplied.

Mathematically:

$D(P) = S(P)$

Where:

  • $D(P)$ – Quantity demanded at price $P$
  • $S(P)$ – Quantity supplied at price $P$

⚖️ Disequilibrium Explained

When the market is not at equilibrium, we have either:

  1. Excess Demand (Shortage) – Quantity demanded > Quantity supplied.
  2. Excess Supply (Surplus) – Quantity supplied > Quantity demanded.

In both cases, the price will change to move the market back toward equilibrium.

📊 Drawing a Disequilibrium

Follow these steps to sketch a disequilibrium:

  1. Draw the vertical axis for price ($P$) and the horizontal axis for quantity ($Q$).
  2. Plot the demand curve (downward sloping).
  3. Plot the supply curve (upward sloping).
  4. Mark the current price (e.g., $P_c$).
  5. Find the quantity demanded at $P_c$ (point on demand curve).
  6. Find the quantity supplied at $P_c$ (point on supply curve).
  7. Shade the area between the two quantities to show the excess.

Example: Market for 🍎 apples at $P_c = \$2$.

📉 Interpreting the Diagram

• If the quantity demanded is higher than the quantity supplied, there is a shortage. Buyers compete, driving the price up.

• If the quantity supplied is higher than the quantity demanded, there is a surplus. Sellers lower prices to clear the excess stock.

Use the shaded area to explain how the market will adjust.

🛠️ Example: The Apple Market

Suppose the demand and supply functions are:

$D(P) = 100 - 10P$

$S(P) = 20 + 5P$

At the current price $P_c = \$4$:

  • Quantity demanded: $D(4) = 100 - 10(4) = 60$
  • Quantity supplied: $S(4) = 20 + 5(4) = 40$

Since $60 > 40$, there is a shortage of 20 apples. Buyers will bid up the price until the market reaches equilibrium at $P^* = \$8$ where $D(8) = S(8) = 20$.

📋 Examination Tips

  • When drawing a diagram, label all axes, curves, and key points clearly.
  • Use the correct notation: $P$ for price, $Q$ for quantity.
  • Explain the direction of price change in response to excess demand or supply.
  • Show the shaded area to illustrate the magnitude of the disequilibrium.
  • Remember to state the economic intuition behind the adjustment process.

💡 Quick Recap

Condition Result Price Movement
Quantity demanded > Quantity supplied Shortage Price ↑
Quantity supplied > Quantity demanded Surplus Price ↓

Revision

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