Problem 11 What is the price elasticity of ... [FREE SOLUTION]

Chapter 5: Problem 11

What is the price elasticity of demand? Can you explain it in your own words?

Short Answer

Expert verified

The price elasticity of demand (PED) is a measure of how sensitive the quantity demanded of a good is to a change in its price, calculated as the percentage change in quantity demanded divided by the percentage change in price. In simpler terms, it shows how strongly buyers react to a change in the price of a product or service. Depending on the value of PED, demand can be classified as elastic (sensitive to price changes), unitary (neither sensitive nor insensitive), or inelastic (insensitive to price changes).

Step by step solution

Defining Price Elasticity of Demand

The price elasticity of demand (PED) is a measure of how sensitive the quantity demanded of a good is to a change in its price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price. The formula to calculate price elasticity of demand is: PED = \(\frac{\% \text{ change in quantity demanded}}{\% \text{ change in price}}\)

Calculating Percentage Change

To calculate percentage change for both price and quantity demanded, use the following formula: Percentage change = \(\frac{\text{New value - Old value}}{\text{Old value}} \times 100\)

Example Calculation

Let's say the price of a product increased from \(10 to \)12 and the quantity demanded decreased from 200 to 180. First, we need to calculate the percentage change in price and quantity demanded: Percentage change in price = \(\frac{12 - 10}{10} \times 100 = 20\%\) Percentage change in quantity demanded = \(\frac{180 - 200}{200} \times 100 = -10\%\) Now, use the PED formula: PED = \(\frac{-10\%}{20\%} = -0.5\)

Classification and Interpretation

Price elasticity of demand can be classified into the following categories: 1. Elastic (PED > 1): A change in price leads to a larger change in quantity demanded. The demand is sensitive to price changes. 2. Unitary (PED = 1): A change in price leads to an equal change in quantity demanded. The demand is neither very sensitive nor very insensitive to price changes. 3. Inelastic (0 < PED < 1): A change in price leads to smaller change in quantity demanded. The demand is insensitive to price changes. In our example, the PED was -0.5, which indicates that the demand for the product is inelastic. This means that the quantity demanded changes at a smaller rate than the price change.

Conclusion

Price elasticity of demand is a measure of the sensitivity of the quantity demanded to a change in price. Depending on the value of PED, we can classify the demand as elastic, unitary, or inelastic, which helps to determine the responsiveness of consumers to price changes. In everyday language, it shows us how strongly buyers react to a change in the price of a certain product or service.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Demand Sensitivity

Demand sensitivity, often referred to as the price elasticity of demand, captures how responsive the quantity demanded of a product is to price changes. To understand this, consider how people adjust their buying habits when prices go up or down.
For example, if the price of a favorite snack rises sharply, some might buy less, showcasing a more sensitive demand.

A key aspect is its calculation: the percentage change in quantity divided by the percentage change in price.
This dimension of elasticity tells us whether buyers will quickly reduce or increase their quantity demanded with price changes.

Sensitivity can vary among different goods; luxury items might see more sensitivity compared to daily necessities, which buyers purchase consistently despite price shifts.

Elastic Demand

When we talk about elastic demand, we're referring to a situation where the quantity demanded changes significantly with a change in price.
This is usually captured when the price elasticity of demand (PED) is greater than 1.

For instance, luxury goods and non-essential items often have elastic demand. A slight decrease in price might lead to a large increase in quantity demanded as more people decide to buy.
In economic terms, an elastic demand suggests that sellers should be cautious when raising prices because it could lead to a substantial drop in sales.

Understanding elastic demand helps businesses strategize pricing to maximize revenue and adapt to consumer reaction.

Inelastic Demand

Inelastic demand describes market situations where the quantity demanded changes very little, even with significant price changes.
This typically occurs when the price elasticity of demand (PED) is between 0 and 1.

Daily necessities such as basic foods, life-saving medications, or utilities often exhibit inelastic demand because they are essential regardless of price.
From the seller鈥檚 perspective, raising prices might still lead to consistent sales because consumers can't easily forgo these needs.

Such inelasticity indicates that consumers are less responsive to price changes, making it a crucial concept for suppliers in strategizing price adjustments.

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