Math Problem Statement
Suppose the demand for a certain brand of sandals is given by the equation , where Q is the quantity demanded and P is the price. Calculate the own-price elasticity of demand at P=$30 if the price declines from $30 to $25. Please round your answer to 2 decimal places.
Solution
To calculate the own-price elasticity of demand (PED), we can use the formula:
This can be rewritten as:
where:
- is the change in quantity demanded,
- is the change in price,
- is the initial quantity demanded, and
- is the initial price.
Since you haven't provided the actual demand equation, I need to know the specific demand function to calculate the quantity demanded at the initial price of $30 and the new price of $25.
Could you please provide the demand equation? It should be something like , or similar. Once I have that, I can compute the elasticity for you.
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Math Problem Analysis
Mathematical Concepts
Elasticity of Demand
Percentage Change
Demand Function
Formulas
Elasticity of Demand: Ed = (ΔQ / Q) / (ΔP / P)
Theorems
Price Elasticity of Demand
Suitable Grade Level
College-Level Economics or Advanced High School Economics
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