Final answer:
The price elasticity of demand (PED) measures the responsiveness of quantity demanded to a change in price. In this case, the PED is -0.4583, indicating elastic demand.
Step-by-step explanation:
The price elasticity of demand (PED) measures the responsiveness of the quantity demanded to a change in price. We can calculate the PED using the formula:
PED = (% change in quantity demanded) / (% change in price).
Given that the initial price is $160 and the final price is $180, and the initial quantity sold is 550 and the final quantity sold is 400, the PED can be calculated as:
PED = ((400 - 550) / ((550 + 400) / 2)) / ((180 - 160) / ((160 + 180) / 2)) = -0.4583
Since the absolute value of the PED is greater than 1, the demand is elastic.