Question
Use the price-demand equation below to find \( E(p) \), the elasticity of demand. \( x=f(p)=40,000-1100 p \) \( E(p)=\square \)
Ask by Curry Garza. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
A elasticidade de demanda é E(p) = –1100p / (40.000 – 1100p).
Solution
A elasticidade-preço da demanda é definida por
E(p) = f '(p) · [p / f(p)],
onde f(p) = 40.000 – 1100p e, portanto, f '(p) = –1100.
Substituindo os valores, temos:
E(p) = (–1100) · [p / (40.000 – 1100p)] = –1100p / (40.000 – 1100p).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To find the elasticity of demand \( E(p) \) using the given price-demand equation \( x = f(p) = 40,000 - 1100 p \), we first need to derive \( E(p) \) using the formula for elasticity: \[ E(p) = \left( \frac{dx}{dp} \cdot \frac{p}{x} \right) \] First, calculate \( \frac{dx}{dp} \): \[ \frac{dx}{dp} = -1100 \] Next, substitute \( x = 40,000 - 1100p \) into the elasticity formula: \[ E(p) = \left( -1100 \cdot \frac{p}{40,000 - 1100p} \right) \] So, the elasticity of demand \( E(p) \) is: \[ E(p) = \frac{-1100p}{40,000 - 1100p} \] And that's your elasticity of demand! Happy calculating!
