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Demand and Supply

Introduction to Demand and Supply

In everyday life, we constantly encounter situations where buyers and sellers interact to exchange goods and services. Whether purchasing fruits at a local market or buying mobile phones online, the concepts of demand and supply govern these transactions. Understanding these concepts is fundamental to microeconomics, the branch of economics that studies individual markets and decision-making.

Demand refers to how much of a product consumers are willing and able to buy at different prices, while supply refers to how much producers are willing and able to sell. Prices are usually expressed in Indian Rupees (INR), and quantities in metric units such as kilograms, litres, or units.

By studying demand and supply, we learn how market prices are determined, how quantities bought and sold adjust, and how changes in external factors affect markets. This knowledge is essential for competitive exams and real-world economic understanding.

Law of Demand

The Law of Demand states that, all else being equal, when the price of a good rises, the quantity demanded falls, and when the price falls, the quantity demanded rises. This inverse relationship between price and quantity demanded explains why demand curves slope downward.

Why does demand decrease when price increases? Imagine you want to buy mangoes. If the price per kilogram rises from Rs.50 to Rs.80, you might buy fewer mangoes or switch to other fruits. Conversely, if the price drops to Rs.30, you might buy more mangoes because they are more affordable.

This behavior occurs because consumers seek to maximize their satisfaction while managing their limited income. Higher prices discourage purchases, while lower prices encourage them.

Quantity Demanded (units) Price (INR) Demand Curve

Exceptions to the Law of Demand: Some goods, like luxury items or necessities, may not follow this rule strictly. For example, a very expensive branded watch might see increased demand as its price rises, due to its status symbol (known as a Veblen good). However, these exceptions are rare and usually limited to specific cases.

Law of Supply

The Law of Supply states that, all else being equal, the quantity supplied of a good rises as its price rises, and falls as its price falls. This direct relationship explains why supply curves slope upward.

For example, a farmer growing wheat will be willing to supply more wheat to the market if the price per quintal increases from Rs.1500 to Rs.2000, since higher prices mean higher potential revenue. Conversely, if prices fall, the farmer might reduce the quantity supplied to avoid losses.

This happens because producers aim to maximize profits. Higher prices provide an incentive to produce and sell more, while lower prices discourage production.

Quantity Supplied (units) Price (INR) Supply Curve

Market Equilibrium

Market equilibrium occurs when the quantity demanded equals the quantity supplied at a particular price. This price is called the equilibrium price, and the corresponding quantity is the equilibrium quantity.

At equilibrium, there is no tendency for the price to change because the desires of buyers and sellers are perfectly balanced.

Quantity (units) Price (INR) Demand Curve Supply Curve Equilibrium (P*, Q*)

What happens if price is above or below equilibrium?

  • Surplus: If the price is set above equilibrium, quantity supplied exceeds quantity demanded, leading to unsold goods.
  • Shortage: If the price is below equilibrium, quantity demanded exceeds quantity supplied, causing scarcity.

These imbalances push the price back toward equilibrium through market forces.

Worked Examples

Example 1: Calculating Equilibrium Price and Quantity Medium
Given the demand function \( Q_d = 100 - 5P \) and the supply function \( Q_s = 20 + 3P \), find the equilibrium price and quantity.

Step 1: At equilibrium, quantity demanded equals quantity supplied:

\( Q_d = Q_s \)

Step 2: Substitute the functions:

\( 100 - 5P = 20 + 3P \)

Step 3: Rearrange to solve for \( P \):

\( 100 - 20 = 3P + 5P \)

\( 80 = 8P \)

\( P = \frac{80}{8} = 10 \) INR

Step 4: Find equilibrium quantity by substituting \( P = 10 \) into either function:

\( Q_d = 100 - 5 \times 10 = 100 - 50 = 50 \) units

Answer: Equilibrium price is Rs.10, and equilibrium quantity is 50 units.

Example 2: Effect of Demand Shift on Equilibrium Medium
Suppose demand increases to \( Q_d = 120 - 5P \) while supply remains \( Q_s = 20 + 3P \). Find the new equilibrium price and quantity.

Step 1: Set \( Q_d = Q_s \) for new equilibrium:

\( 120 - 5P = 20 + 3P \)

Step 2: Rearrange:

\( 120 - 20 = 3P + 5P \)

\( 100 = 8P \)

\( P = \frac{100}{8} = 12.5 \) INR

Step 3: Calculate new equilibrium quantity:

\( Q_d = 120 - 5 \times 12.5 = 120 - 62.5 = 57.5 \) units

Answer: New equilibrium price is Rs.12.50, and quantity is 57.5 units.

Example 3: Effect of Supply Shift on Equilibrium Medium
Supply decreases to \( Q_s = 10 + 3P \) while demand remains \( Q_d = 100 - 5P \). Find the new equilibrium price and quantity.

Step 1: Set \( Q_d = Q_s \):

\( 100 - 5P = 10 + 3P \)

Step 2: Rearrange:

\( 100 - 10 = 3P + 5P \)

\( 90 = 8P \)

\( P = \frac{90}{8} = 11.25 \) INR

Step 3: Calculate equilibrium quantity:

\( Q_s = 10 + 3 \times 11.25 = 10 + 33.75 = 43.75 \) units

Answer: New equilibrium price is Rs.11.25, and quantity is 43.75 units.

Example 4: Calculating Price Elasticity of Demand Hard
Calculate the price elasticity of demand (PED) between prices Rs.20 and Rs.25 when quantity demanded changes from 60 to 50 units.

Step 1: Use the midpoint formula for elasticity:

\[ \text{PED} = \frac{Q_2 - Q_1}{(Q_2 + Q_1)/2} \div \frac{P_2 - P_1}{(P_2 + P_1)/2} \]

Where:

  • \( Q_1 = 60 \), \( Q_2 = 50 \)
  • \( P_1 = 20 \), \( P_2 = 25 \)

Step 2: Calculate numerator (percentage change in quantity):

\[ \frac{50 - 60}{(50 + 60)/2} = \frac{-10}{55} = -0.1818 \]

Step 3: Calculate denominator (percentage change in price):

\[ \frac{25 - 20}{(25 + 20)/2} = \frac{5}{22.5} = 0.2222 \]

Step 4: Calculate PED:

\[ \text{PED} = \frac{-0.1818}{0.2222} = -0.818 \]

Interpretation: The absolute value of PED is 0.818, which is less than 1, indicating inelastic demand. This means quantity demanded is relatively unresponsive to price changes in this range.

Example 5: Impact of Price Ceiling on Market Hard
The government sets a price ceiling of Rs.15 on a product with demand \( Q_d = 100 - 5P \) and supply \( Q_s = 20 + 3P \). Analyze the shortage created.

Step 1: Calculate quantity demanded at price ceiling \( P = 15 \):

\( Q_d = 100 - 5 \times 15 = 100 - 75 = 25 \) units

Step 2: Calculate quantity supplied at price ceiling:

\( Q_s = 20 + 3 \times 15 = 20 + 45 = 65 \) units

Step 3: Identify shortage or surplus:

Since \( Q_d = 25 \) and \( Q_s = 65 \), quantity supplied exceeds quantity demanded, which indicates a surplus. But this contradicts typical price ceiling effects.

Step 4: Check if price ceiling is below or above equilibrium price:

From previous examples, equilibrium price was Rs.10. Since Rs.15 is above Rs.10, the price ceiling is not binding and does not affect the market.

Step 5: Now, suppose the price ceiling was Rs.8 (below equilibrium price):

Calculate quantities:

\( Q_d = 100 - 5 \times 8 = 100 - 40 = 60 \)

\( Q_s = 20 + 3 \times 8 = 20 + 24 = 44 \)

Here, \( Q_d > Q_s \), so there is a shortage of \( 60 - 44 = 16 \) units.

Answer: A binding price ceiling below equilibrium price creates a shortage by increasing demand and reducing supply.

Demand Function

\[Q_d = a - bP\]

Quantity demanded decreases as price increases

\(Q_d\) = Quantity demanded (units)
P = Price (INR)
a,b = Constants

Supply Function

\[Q_s = c + dP\]

Quantity supplied increases as price increases

\(Q_s\) = Quantity supplied (units)
P = Price (INR)
c,d = Constants

Equilibrium Condition

\[Q_d = Q_s\]

Quantity demanded equals quantity supplied at equilibrium

\(Q_d\) = Quantity demanded
\(Q_s\) = Quantity supplied

Price Elasticity of Demand (PED)

\[PED = \frac{\% \text{change in quantity demanded}}{\% \text{change in price}} = \frac{\Delta Q / Q}{\Delta P / P}\]

Measures responsiveness of quantity demanded to price changes

Q = Initial quantity demanded
P = Initial price
\(\Delta Q\) = Change in quantity
\(\Delta P\) = Change in price

Midpoint Elasticity Formula

\[PED = \frac{Q_2 - Q_1}{(Q_2 + Q_1)/2} \div \frac{P_2 - P_1}{(P_2 + P_1)/2}\]

Calculates elasticity between two points on demand curve

\(Q_1,Q_2\) = Quantities at two points
\(P_1,P_2\) = Prices at two points

Tips & Tricks

Tip: Always check units and currency before calculations.

When to use: To avoid errors in problems involving price and quantity.

Tip: Use graphical intuition before algebraic solutions.

When to use: When solving equilibrium or shift problems to visualize changes.

Tip: Memorize the midpoint formula for elasticity.

When to use: To quickly calculate price elasticity in exam questions.

Tip: Identify whether shifts are demand-side or supply-side first.

When to use: When analyzing market changes to apply correct formulas.

Tip: Relate price ceilings/floors to surplus or shortage.

When to use: To quickly assess government intervention effects.

Common Mistakes to Avoid

❌ Confusing the direction of demand and supply curves
✓ Remember demand curve slopes downward, supply curve slopes upward
Why: Students often mix up because both involve price and quantity
❌ Using percentage change formulas incorrectly for elasticity
✓ Use midpoint formula to avoid bias in elasticity calculation
Why: Students forget to use average base leading to inconsistent results
❌ Ignoring units or currency in calculations
✓ Always include INR and metric units to maintain consistency
Why: Leads to confusion and wrong answers in numerical problems
❌ Assuming equilibrium always exists without shifts
✓ Check for shifts in demand or supply before concluding equilibrium
Why: Market conditions often change, affecting equilibrium
❌ Misinterpreting effects of price ceilings and floors
✓ Remember ceilings cause shortages, floors cause surpluses
Why: Students mix these concepts leading to wrong conclusions
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