Managerial Economicsintermediate
Arrange the steps for calculating the price elasticity of demand using the midpoint (arc) method in sequential order.
Answer
Calculate the changes and midpoint values for both price and quantity, Divide each change by its respective midpoint to determine the percentage changes, Divide the percentage change in quantity by the percentage change in price, Take the absolute value of the resulting quotient to report the price elasticity of demand
Explanation
### The order
1. **Find the change in the dependent variable**: subtract its initial value from its new value.
2. **Find the change in the independent variable**: calculate its change over the same interval.
3. **Express each change as a percentage of its initial value**: this puts the two variables on a comparable proportional scale.
4. **Divide the percentage change in the dependent variable by the percentage change in the independent variable**: this gives arc elasticity over the interval.
### The concept
Arc elasticity measures responsiveness between two observed points. Point elasticity instead uses derivatives to measure responsiveness at a particular point on a curve. Both compare proportional changes, but they describe different locations or intervals.
### Terms
- **Arc elasticity**: elasticity measured over a finite interval between two observations.
- **Point elasticity**: elasticity measured at a particular point using the derivative of a function.
### Remember
Convert both changes to percentages before taking their ratio.
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