Answer:
Correct option: (A) 43.48% fall in the price of a ticket.
Step-by-step explanation:
The price elasticity of demand is defined as the percent change in quantity demanded to the percent change in the price.
[tex]Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}[/tex]
Given:
Price elasticity of demand = 0.23
% change in quantity demanded = 10
Compute the % change in price as follows:
[tex]Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}\\0.23=\frac{10}{\%\ change\ in\ price}\\{\%\ change\ in\ price}=\frac{10}{0.23}\\=43.4783\\\approx43.48[/tex]
Thus, a 10 percent increase in attendance can be explained by a 43.48% fall in the price of a ticket.