Answer:
2.12
Explanation:
PED = % Change in Quantity demanded / % Change in price
✔️Price when quantify demanded was 8:
Substitute Q = 8 into P = 50 - 2Q
Thus:
P = 50 - 2(8)
P = 50 - 16
P = 34
✔️Price when quantify demanded was 12:
Substitute Q = 12 into P = 50 - 2Q
Thus:
P = 50 - 2(12)
P = 50 - 24
P = 26
✔️% change in price = (old price - new price)/old price × 100
Old price = 34
New price = 26
% change in price = (34 - 26)/34 × 100 ≈ 23.53 (2 d.p)
✔️% change in quantity demanded = (old quantity - new quantity)/old quantity × 100
Old quantity = 8
New quantity = 12
% change in quanty demanded = (8-12)/12 × 100 = 50%
✔️ Elasticity (PED) = 50/23.53 = 2.12 (2 d.p)
