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Understanding Price Elasticity and Revenue

Oct 23, 2024

Lecture Notes: Price Elasticity of Demand and Total Revenue

Key Concepts

Total Revenue (TR)

  • Formula: TR = P * Q
    • P: Price of a good/service
    • Q: Quantity sold
  • Businesses use this formula to make pricing decisions.*

Price Elasticity of Demand (PED)

  • Price Elastic Demand:
    • If price changes, total revenue (TR) moves in the opposite direction.
    • Increase price → Decrease TR
      • Higher prices cause a significant drop in quantity demanded.
    • Decrease price → Increase TR
      • Lower prices cause a substantial rise in quantity demanded.
  • Price Inelastic Demand:
    • If price changes, TR moves in the same direction.
    • Increase price → Increase TR
      • Higher prices cause a minor drop in quantity demanded.
    • Decrease price → Decrease TR
      • Lower prices cause a slight increase in quantity demanded.

Illustrative Examples

Price Elastic Demand Example

  • Scenario: Decreasing price
    • Initial Revenue: P1Q1 = P1AQ10
    • New Revenue: P2Q2 = P2BQ20
    • Revenue Analysis:
      • Revenue Gained: Green box
      • Revenue Lost: Red box
      • Outcome: Green box (gained) > Red box (lost)
      • Conclusion: Lowering price when demand is elastic increases total revenue.

Price Inelastic Demand Example

  • Scenario: Increasing price
    • Initial Revenue: P1Q1 = P1AQ10
    • New Revenue: P2Q2 = P2BQ20
    • Revenue Analysis:
      • Revenue Gained: Large green box
      • Revenue Lost: Small red box
      • Outcome: Green box (gained) > Red box (lost)
      • Conclusion: Increasing price when demand is inelastic increases total revenue.

Important Reminders

  • Elasticity mnemonic: "Elastic only irritates skin."
    • Elastic demand: Opposite reaction
    • Inelastic demand: Same reaction

Conclusion

  • Understanding PED is crucial for pricing strategies aimed at maximizing total revenue.
  • Elastic Demand: Lower price to increase TR.
  • Inelastic Demand: Raise price to increase TR.
  • Analyze diagrams to visualize and confirm these strategies.

Note: This relationship between PED and TR is fundamental in economics and provides strategic insights for businesses on pricing decisions.