Monday  August 12, 2024
 AmosWEB means Economics with a Touch of Whimsy!
 LONG-RUN AVERAGE COST: The per unit cost of producing a good or service in the long run when all inputs are variable. In other words, long-run total cost divided by the quantity of output produced. Long-run average cost is based on economies of scale (or increasing returns to scale) and diseconomies of scale (or decreasing returns to scale).

POINT ELASTICITY:

The relative responsiveness of a change in one variable (call it B) to an infinitesimally small change in another variable (call it A). The notion of point elasticity typically comes into play when discussing the elasticity at a specific point on a curve.
Point elasticity can be calculated in a number of different ways. Sophisticated economists, using sophisticated mathematical techniques (better known as calculus) calculate point elasticity by using derivatives. Derivatives are calculus talk for infinitesimally small changes. The formula for calculating point elasticity using calculus is given as:

 pointelasticity = ∂BB ÷ ∂AA
The symbol that looks like a backward six (∂) is the mathematical notation for a derivative, or infinitesimally small change. The first term on the right-hand side of this formula is the percentage change in variable B and the second term is the percentage change in variable A.

Unsophisticated folks can also calculate point elasticity without the use of sophisticated calculus. This is done with the midpoint elasticity formula, presented here:

 midpointelasticity = (B2 - B1)(B2 + B1)/2 ÷ (A2 - A1)(A2 + A1)/2
The first term on the right-hand side of the equation is the percentage change in variable B. The second term is the percentage change in variable A. The individual items are interpreted as this: A1 is the initial value of A before any changes, A2 is the ending value after A changes, B1 is the initial value of B before any changes, and B2 is the ending value after B changes.

This midpoint elasticity formula actually calculates the average or arc elasticity of the entire line segment. However, it also calculates the point elasticity for the midpoint of a line segment.

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Recommended Citation:

POINT ELASTICITY, AmosWEB Encyclonomic WEB*pedia, http://www.AmosWEB.com, AmosWEB LLC, 2000-2024. [Accessed: August 12, 2024].

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