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Elasticity of Demand and Supply

Price elasticity of demand (PED), income elasticity (YED), cross elasticity (XED), price elasticity of supply (PES), calculations, and applications.

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Real-World Context & Relevance in Ghana

Government imposes heavy excise taxes on cigarettes and alcohol because their demand is price-inelastic, ensuring high tax revenues.

Key Syllabus Learning Objectives

  • 1Calculate price, income, and cross elasticity of demand using standard formulas
  • 2Interpret numerical coefficients of elasticity and classify goods accordingly
  • 3Advise businesses and governments on pricing and taxation policies based on elasticity
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Comprehensive Syllabus Study Notes

• Price Elasticity of Demand (PED): Measures the responsiveness of quantity demanded to a change in the price of the product. - Formula: PED = (% Change in Quantity Demanded) / (% Change in Price). - Degree of Elasticity: * PED > 1: Elastic (luxuries, items with many substitutes; small price increase causes large fall in demand). * PED < 1: Inelastic (necessities like salt, insulin, electricity; quantity changes little when price changes). * PED = 1: Unitary elastic. * PED = 0: Perfectly inelastic (vertical curve); PED = infinity: Perfectly elastic (horizontal curve). • Income Elasticity of Demand (YED): Positive for normal goods; negative for inferior goods. • Cross Elasticity of Demand (XED): Positive for substitutes (rise in price of beef increases chicken demand); negative for complements. • Importance to Revenue: For inelastic goods, increasing price raises producer total revenue; for elastic goods, lowering price raises total revenue.
  • Price Elasticity of Demand (PED): Measures the responsiveness of quantity demanded to a change in the price of the product.
  • Formula: PED = (% Change in Quantity Demanded) / (% Change in Price).
  • Degree of Elasticity:
  • Income Elasticity of Demand (YED): Positive for normal goods; negative for inferior goods.
  • Cross Elasticity of Demand (XED): Positive for substitutes (rise in price of beef increases chicken demand); negative for complements.
  • Importance to Revenue: For inelastic goods, increasing price raises producer total revenue; for elastic goods, lowering price raises total revenue.
Practical Example:

Government imposes heavy excise taxes on cigarettes and alcohol because their demand is price-inelastic, ensuring high tax revenues.

Core Takeaway:

When calculating PED, ignore the negative sign (use absolute value) when classifying elasticity as elastic, inelastic, or unitary.

WAEC / WASSCE Examiner Tips
  • When calculating PED, ignore the negative sign (use absolute value) when classifying elasticity as elastic, inelastic, or unitary.
Common Candidate Pitfalls & Errors to Avoid
  • Reporting elasticity as a positive number without stating that the price and quantity moves were in opposite directions.
  • Using the new value as the denominator where the midpoint method is required, and getting a different answer.
  • Concluding demand is inelastic because total revenue rose when price fell, which is the opposite test.
  • Interpreting a cross elasticity of minus 1.5 as evidence the goods are substitutes.
  • Assuming agricultural supply is elastic in the short run when biological lags make it inelastic.
Topic Mastery Checklist
  • Calculate price, income, and cross elasticity of demand using standard formulas
  • Interpret numerical coefficients of elasticity and classify goods accordingly
  • Advise businesses and governments on pricing and taxation policies based on elasticity
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