Answer:
Option (a) is correct.
Explanation:
Given that,
Initial Quantity supplied = 10,000
New quantity supplied = 15,000
Initial price = $5
Price elasticity of demand = 1.8
Percentage change in quantity supplied:
= [(New quantity supplied - Initial Quantity supplied) ÷ Initial Quantity supplied] × 100
= [(15,000 - 10,000) ÷ 10,000] × 100
= (5,000 ÷ 10,000) × 100
= 50%
Let the new price be x,
Percentage change in price:
= [(New price - Initial price) ÷ Initial price] × 100
= [(x - $5) ÷ $5] × 100
= (x - 5) × 20
= 20x - 100
Therefore,
Price elasticity of demand = Percentage change in quantity supplied ÷ Percentage change in price
1.8 = 50 ÷ (20x - 100)
1.8 (20x - 100) = 50
36x - 180 = 50
36x = 230
x = 5
Hence, the new price per pound of walnuts is $5.
