Answer:
$0.45
Explanation:
Given the following :
At a unit price of $0.5 :
Quantity sold = 1000 and price elasticity of demand = 2. If quantity sold is to increase to 1200, new price of pencils equals ;
Price elasticity of demand :
(% change in quantity demanded / percentage change in price)
% change in quantity demanded equals :
[(1200 - 1000) / 1000] * 100
(200/1000) * 100
0.2 * 100 = 20%
Therefore ;
Price elasticity of demand :
(% change in quantity demanded / percentage change in price)
(2 = 20% / % change in price)
% Change in price * 2 = 20%
% change in price = 20% / 2
% change in price = 10%
Old price = $0.5
Since quantity demanded increases, then the price of pencil has decreased
10% decrease in old price
10% of $0.5
(10/100) * $0.5
0.1 * 0.5 = $0.05
New price = $0.5 - $0.05
New price = $0.45
