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Elasticity of Demand Numericals Explained

Aug 3, 2024

100 Days Commerce Pro Series - Lecture Notes

Economics - Elasticity of Demand

  • The theory of elasticity of demand was covered in the previous class.
  • Today, the focus will be on the numerical portion.
  • The entire section on production will be completed tomorrow.
  • After cost next week, we will move towards statistics.

Syllabus Information

  • The preliminary chapters of micro and macro have already been covered.
  • In some boards, microeconomics is in the 11th grade and in some it is in the 12th grade.

Numericals on Elasticity of Demand

  • Formula:
    • Percentage Method:
      • % Change = (╬ФQ / Q) * 100
      • % Change = (╬ФP / P) * 100
    • Proportional Method:
      • E_d = (╬ФQ / ╬ФP) * (P / Q)*

First Question

  • Price at 10 per unit, demand 100 units.
  • Price at 8 per unit, demand 150 units.
  • ╬ФP = 8 - 10 = -2
  • ╬ФQ = 150 - 100 = 50
  • Elasticity (E_d) = (╬ФQ / ╬ФP) * (P / Q) = (50 / -2) * (10 / 100) = -2.5
    • Note: The negative sign indicates an inverse relationship (between price and quantity demanded).

Second Question

  • Demand 300 units, price was 20, then increased to 22.
  • Demand dropped to 240 units.
  • ╬ФP = 22 - 20 = 2
  • ╬ФQ = 240 - 300 = -60
  • E_d = (-60 / 2) * (20 / 300) = -2*

Third Question

  • Price 5, demand 100 units.
  • Elasticity is 2, new quantity 140 units.
  • ╬ФQ = 40
  • ╬ФP = ?
  • E_d = ╬ФQ / ╬ФP * (P / Q)
  • New price (p1) = 4.*

Fourth Question

  • Price at 10 per unit, demand 40 units.
  • Price fell from 5 to 0.
  • ╬ФP = -5
  • E_d = 3
  • Determine ╬ФQ.
  • New demand = 100.

Final Question

  • Price 10, demand 20.
  • Price fell from 10 to 0.
  • New demand 22 units.
  • E_d = (% change) = 1.

Conclusion

  • Both methods can be used in the numericals of elasticity.
  • The next class will focus on production.

Thank You

  • Thank you to all the students, see you in the next class.