📚 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:
- Excess Demand (Shortage) – Quantity demanded > Quantity supplied.
- 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:
- Draw the vertical axis for price (\$P\$) and the horizontal axis for quantity (\$Q\$).
- Plot the demand curve (downward sloping).
- Plot the supply curve (upward sloping).
- Mark the current price (e.g., \$P_c\$).
- Find the quantity demanded at \$P_c\$ (point on demand curve).
- Find the quantity supplied at \$P_c\$ (point on supply curve).
- 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 ↓ |