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FARM PROBLEM: The short-run situation in which weather variability creates large fluctuations in farm prices, combined with the long-run situation in which technological advances increase production capabilities even though the demand for agricultural production declines relative to the growth of the overall economy. Taken together these two situations lead to highly unstable farm incomes that tend to decline over time. The solution to this problem has been significant government intervention in the agricultural industry, especially through assorted subsidies and price floors.
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                           ARC ELASTICITY: The average elasticity for discrete changes in two variables. The distinguishing characteristic of arc elasticity is that percentage changes are calculated based on the average of initial and ending values of each variable, rather than initial values. Arc elasticity is generally calculated using the midpoint elasticity formula. The contrast to arc elasticity is point elasticity. For infinitesimally small changes in two variables, arc elasticity is the same as point elasticity. Arc elasticity is best considered the average elasticity over a range of values for a relation. Like any average, some values within the range are likely to be greater and some less. However, it provides a quick approximation of elasticity when more precise and sophisticated calculation techniques are not possible.Working Through an ExampleA Standard Demand Curve |  | The demand curve displayed to the right can be used to illustrate the measurement of arc elasticity using the midpoint elasticity formula. If the price declines from $12 to $8, the quantity demanded increases from 4 to 6, from point X to point Z. Using this midpoint formula (with price designated as P and quantity designated as Q) average price elasticity of demand is:midpoint elasticity | = | (Q[Z] - Q[X]) (Q[Z] + Q[X])/2 | ÷ | (P[Z] - P[X]) (P[Z] + P[X])/2 |
midpoint elasticity | = | (6 - 4) (6 + 4)/2 | ÷ | (8 - 12) (8 + 12)/2 | = | (2) (5) | ÷ | (-4) (10) |
midpoint elasticity | = | 0.4 | ÷ | -0.4 | = | -1.0 |
Ignoring the minus sign, the price elasticity of demand over this segment of the demand curve from X to Z is 1.0.An Average ValueThis value of 1.0 is actually an average for the entire range between points X and Z. Precise estimates of point elasticity shows that the elasticity is 0.67 at point X and 1.5 at point Z. Moreover, the elasticity is different at each point on a straight line demand curve such as this one. The only point in which the elasticity is exactly equal to 1.0 is at point Y, the midpoint between X and Z.This last observation is worth emphasizing. The midpoint elasticity formula effectively estimates the point elasticity at the very midpoint of the overall segment. This means that the elasticity of any point on a demand curve (point elasticity) can be obtained by calculating the arc elasticity with the midpoint elasticity formula such that the desired point is dead center in the middle, the midpoint of the arc.
 Recommended Citation:ARC ELASTICITY, AmosWEB Encyclonomic WEB*pedia, http://www.AmosWEB.com, AmosWEB LLC, 2000-2025. [Accessed: July 6, 2025]. Check Out These Related Terms... | | | | | | Or For A Little Background... | | | | | | And For Further Study... | | | | | |
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YELLOW CHIPPEROON [What's This?]
Today, you are likely to spend a great deal of time at an auction looking to buy either a weathervane with a cow on top or a box of multi-colored, plastic paper clips. Be on the lookout for telephone calls from long-lost relatives. Your Complete Scope
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The first "Black Friday" on record, a friday marked by a major financial catastrophe, occurred on September 24, 1869 -- A FRIDAY -- when an attempted cornering of the gold market induced a financial crises and economy-wide depression.
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"Defeat is simply a signal to press onward. " -- Helen Keller, author, lecturer
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LAD Least Absolute Deviations
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