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CIE A-Level Economics Study Notes

2.3.2 Price Elasticity of Supply (PES) Calculation

The Price Elasticity of Supply (PES) is a fundamental concept in economics, providing insight into how the quantity of goods supplied responds to changes in price. This section delves deeply into the formulas, calculation methods, and practical examples to enhance understanding of PES.

Understanding PES and Its Importance

Price Elasticity of Supply is a measure used in economics to show how the quantity supplied of a good is affected by a change in its price. It is a crucial indicator for businesses and economists to understand market dynamics and to make informed decisions regarding production and pricing.

Formula for Calculating PES

The formula for calculating Price Elasticity of Supply is:

PES = (% Change in Quantity Supplied) / (% Change in Price)

The percentage changes are calculated using the following formulas:

  • % Change in Quantity Supplied = [(New Quantity Supplied - Original Quantity Supplied) / Original Quantity Supplied] × 100
  • % Change in Price = [(New Price - Original Price) / Original Price] × 100

Detailed Interpretation of PES Values

  • 1. PES > 1 (Elastic Supply): Indicates that the supply is sensitive to price changes. A small increase in price results in a larger increase in quantity supplied.
  • 2. PES < 1 (Inelastic Supply): Suggests that supply is relatively unresponsive to price changes. Changes in price have a lesser impact on the quantity supplied.
  • 3. PES = 1 (Unit Elastic Supply): This is a balanced scenario where any change in price is matched by an equal percentage change in quantity supplied.
  • 4. PES = 0 (Perfectly Inelastic Supply): The quantity supplied remains constant regardless of price changes.
  • 5. PES = ∞ (Perfectly Elastic Supply): Any small change in price leads to an infinite change in the quantity supplied.
An image illustrating types of PES.

Image courtesy of iamtilakmahara

Calculating PES: Practical Examples and Exercises

Example 1: Basic PES Calculation

Let's consider a local bakery that increases its bread supply from 200 to 300 loaves due to a price rise from £2 to £2.50 per loaf.

  • 1. Calculate the % change in quantity supplied: ((300 - 200) / 200) × 100 = 50%
  • 2. Calculate the % change in price: ((£2.50 - £2) / £2) × 100 = 25%
  • 3. PES = 50% / 25% = 2

The PES of 2 indicates an elastic supply, as the quantity supplied changes by a larger percentage than the price.

Example 2: Application in Technology Industry

Consider a tech company that increases the production of its gadgets from 10,000 to 12,000 units following a price increase from £300 to £330.

  • 1. % Change in Quantity Supplied = ((12,000 - 10,000) / 10,000) × 100 = 20%
  • 2. % Change in Price = ((£330 - £300) / £300) × 100 = 10%
  • 3. PES = 20% / 10% = 2

This shows an elastic supply, common in industries where production can be quickly scaled up.

An image illustrating PES calculations.

Image courtesy of slideshare

Exercises

Exercise 1: A farmer increases the supply of carrots from 1,000 to 1,200 units when the price increases from £1 to £1.10 per unit. Calculate the PES.

Exercise 2: A clothing manufacturer reduces the supply of a particular dress from 500 to 450 units after the price decreases from £50 to £45. Determine the PES.

Exercise 3: Analyse why electronic goods might have a more elastic supply compared to handcrafted items.

Factors Influencing PES Calculations

  • 1. Production Time Frame: The elasticity of supply can vary over different time periods. In the short term, supply tends to be less elastic as it takes time for producers to adjust their production processes.
  • 2. Production Technology and Capacity: The availability of advanced technology and production capacity significantly affects the elasticity of supply. Industries with rapid production capabilities tend to have a more elastic supply.
  • 3. Resource Availability: The availability of resources required for production (like raw materials and labor) can influence how quickly and easily a producer can respond to price changes.
  • 4. Nature of the Product: The type of product also plays a role in determining PES. For instance, perishable goods usually have a more inelastic supply due to their short shelf life.

Elasticity and Market Dynamics

Understanding PES is crucial for businesses as it helps in making strategic decisions regarding inventory management and pricing policies. It also assists in anticipating how changes in market conditions can impact the supply of goods.

In conclusion, PES is a vital tool in economics, offering insights into supplier behaviour and market dynamics. By mastering the calculation and interpretation of PES, students and professionals in economics can better understand and predict the impact of price changes on the supply of goods and services.

FAQ

Supply chain disruptions can significantly impact the Price Elasticity of Supply (PES) by affecting the ability of producers to respond to price changes. When supply chains are disrupted, for instance, due to logistical issues, natural disasters, or political instability, the flow of raw materials and finished goods is hindered. This limitation often results in a more inelastic supply, as producers find it challenging to increase the quantity supplied in response to a price increase. For example, if a key component for manufacturing a product is delayed due to shipping disruptions, the final product cannot be produced as planned, irrespective of price changes. This inelastic response underscores the importance of robust and efficient supply chains in maintaining the flexibility of supply in the face of price fluctuations.

Government regulations can significantly impact the Price Elasticity of Supply (PES) by either constraining or facilitating the ability of suppliers to respond to price changes. Regulations that impose restrictions on production, such as environmental laws or safety standards, can make the supply more inelastic. These restrictions can limit the speed and extent to which producers can increase supply in response to rising prices. On the other hand, government subsidies or tax incentives can enhance supply elasticity by lowering production costs, thereby enabling producers to increase supply more readily when prices rise. Additionally, regulations that streamline business processes or remove bureaucratic hurdles can also make supply more elastic, as they allow for quicker and more efficient production adjustments.

The availability of substitutes in production plays a crucial role in determining the Price Elasticity of Supply (PES). When there are readily available substitutes for the inputs used in production, the supply tends to be more elastic. This is because producers can switch to alternative inputs more easily and cost-effectively in response to price changes. For instance, if a manufacturer can easily substitute between different types of raw materials based on their costs and availability, they can adjust production more fluidly in response to market price fluctuations. This flexibility in the production process enhances the ability of firms to increase supply when prices rise, leading to a higher PES. Conversely, if there are no close substitutes for the inputs, the supply will be more inelastic, as producers have limited options to adjust their production in response to price changes.

Market structure and competition significantly influence the Price Elasticity of Supply (PES). In highly competitive markets, such as perfect competition, the supply is typically more elastic. This is because numerous suppliers are willing and able to increase production when prices rise, driven by the desire to capture a larger market share and maximise profits. In contrast, in monopolistic or oligopolistic markets, where fewer firms dominate, the supply tends to be more inelastic. In these markets, large firms often have greater control over their production levels and may not respond as quickly or significantly to price changes. Additionally, in monopolistic markets, the sole supplier may face limited pressure to increase supply in response to price changes, leading to a lower PES. Overall, the degree of competition and the number of suppliers in a market play a critical role in determining how responsive the supply is to changes in price.

The concept of time period significantly affects the calculation of PES, especially for seasonal products. Seasonal products, such as agricultural produce, have limited periods of planting and harvesting, which restricts the ability to increase supply in response to price changes within a short period. This typically results in a more inelastic PES in the short term, as the quantity supplied cannot be rapidly adjusted. Over a longer time frame, however, farmers might change their planting strategies based on price trends, leading to a more elastic PES. For example, if the price of strawberries is consistently high, farmers may allocate more land for strawberry cultivation in the following season, thereby increasing the supply. This aspect underlines the importance of considering the specific time frame when evaluating PES for seasonal products, as the elasticity can vary markedly between short-term and long-term scenarios.

Practice Questions

The price of a particular brand of coffee increases from £10 to £12, leading to an increase in quantity supplied from 1000 to 1200 units. Calculate the Price Elasticity of Supply (PES) and explain what this indicates about the supplier's response to the price change.

The Price Elasticity of Supply (PES) can be calculated using the formula: PES = (% Change in Quantity Supplied) / (% Change in Price). The % change in quantity supplied is ((1200 - 1000) / 1000) × 100 = 20%. The % change in price is ((£12 - £10) / £10) × 100 = 20%. Thus, PES = 20% / 20% = 1. This indicates a unit elastic supply, meaning the quantity supplied changes by the same percentage as the price. The supplier's response to the price change is proportional, suggesting a balanced adjustment of supply to the change in price.

Discuss why the Price Elasticity of Supply might be different for a farmer growing wheat compared to a factory producing smartphones, considering factors such as production time and technology.

The Price Elasticity of Supply (PES) is likely to be different for a farmer growing wheat compared to a factory producing smartphones due to differences in production time and technology. Wheat farming is subject to natural growth cycles and environmental factors, making it less responsive to price changes in the short term, hence more inelastic. On the other hand, smartphone production, backed by advanced technology and efficient production processes, can quickly adjust to price changes, making its supply more elastic. Additionally, the factory can scale up production in response to price increases more rapidly than the farmer can increase wheat output.

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