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Elasticity, price changes, and changes in total revenue (TR) (total expenditure, (TE)).
In the market for a particular good: Total revenue (TR) is the amount of money sellers take in. Total expenditure (TE) is the amount of money buyers pay out. Assuming no excise taxes: TR = TE = p x Q (price x quantity)
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Question: When p and Q change as the result of
movements along a demand curve, what is the relationship between changes in price and changes in TR? p Q When p increases, Q decreases, so it’s not clear, without more information, how TR is affected. Demand p2 Q2 TR2 = p2 x Q2 TR1 = p1 x Q1 p1 Q1 Need info about elasticity of demand.
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Let’s look at some cases:
Suppose demand is inelastic (%Q < %p) and price increases (quantity decreases). (Keep in mind -- we’re talking about movements along a demand curve.) TR = TE = p x Q TR = TE increases, on balance. “big” increase in p . . . combined with “small” decrease in Q
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This is easy to remember by visualizing a demand curve
close to the limiting case of perfectly inelastic: For a demand curve that is close to perfectly inelastic, it’s obvious that TR = TE increases when price increases. p Q Q2 p2 p1 Q1
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Now suppose that demand is elastic (%Q > %p)
and price increases (quantity decreases). TR = TE = p x Q TR = TE decreases, on balance. . . . combined with “big” decrease in Q “small” increase in p
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Once again, visualizing a demand curve close to the
limiting case -- perfectly elastic this time -- helps us remember the general result: p Q With a demand curve that is close to perfectly elastic, it’s obvious that the TR = TE rectangle gets smaller when price increases. p2 Q2 p1 Q1
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Let’s organize the findings in a table:
inelastic When demand is . . . . . . and price increases decreases TR = TE perf. inelastic TR = TE TR = TE unit elastic no change in TR = TE elastic TR = TE perf. elastic (can’t really talk about price changes)
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Own price elasticity of demand can vary . . .
from one demand curve to another . . . and even along a given demand curve. (Text’s discussion of elasticity and linear demand. (p. 97)) What determines the elasticity of demand? Availability of substitutes: A good with close substitutes tends to have more elastic demand than a good with no close substitutes.
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Breadth of definition:
Any one of a group of related goods tends to have more elastic demand than the group taken as a whole. Time horizon (period of time allowed for adjustment to a price change): The long-run demand for a good will tend to be more elastic than the short-run demand.
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Consider the demand for gasoline:
p Q DSR p2 Q2 leads to a smaller quantity response (Q1 Q2) in the short-run DLR Q3 . . . than in the long-run (Q1 Q3) p1 Q1 A price increase from p1 to p
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Elasticity is a general concept. Whenever we have one
variable (X) that depends on another variable (Y) . . . . . . we can use elasticity to provide a “unit-free” measure of the degree of responsiveness of X to changes in Y. Elasticities are always ratios of percentage (rather than absolute) changes. Some other elasticities in economics: Income elasticity of demand = % in Q demanded % in income Algebraic sign and normal vs. inferior goods?
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Cross-price elasticity of demand =
% in Q demanded of one good (x) % in price of another good (y) Algebraic sign and substitutes vs. complements? Own price elasticity of supply = % in Q supplied % in price Like demand, supply tends to be more elastic in the long-run than in the short-run.
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OPEC (Organization of Petroleum Exporting Countries) and the price of crude oil.
( OPEC members include several Persian Gulf region countries (Saudi Arabia, Egypt, United Arab Emirates, etc.) plus a few others (Venezuela, Indonesia, etc.) An example of a cartel : a group of firms (usually, in this case countries) acting in unison. Collusion: An agreement among firms (countries) about quantities to produce or prices to charge.
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OPEC’s game: Raise the price of crude oil through a
coordinated reduction in quantity produced. OPEC’s greatest successes occurred in mid- to late-70s. Price, to U.S. buyers, of crude oil imports for December of each year ($/bl.) (source: ) 1973 1977 1981 1985 1989 6.34 13.41 34.56 24.23 18.80 1993 1997 2001 2005 2009 11.63 14.21 15.22 50.06 71.24
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Inflation-adjusted price, to U.S. buyers, of crude oil
imports for Dec. of each year (1973$/bl.) 1973 1977 1981 1985 1989 6.34 9.97 17.00 10.25 6.89 1993 1997 2001 2005 2009 3.68 4.07 3.97 11.70 15.18 Real (inflation-adjusted) price increases throughout mid- to-late-70s, peaking around 1981. Real price decreases though remainder of 80s. Fairly stable through 90’s until about 2003. Until 2003, prices comparable, in real terms, to 1973.
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Why was OPEC’s success only temporary?
One reason is that both supply and demand are more elastic in the long-run than in the short-run. SSR2 When supply decreases in the short-run (with quite inelastic supply and demand) . . . price of crude quantity of SSR1 DSR . . . price increases substantially. Q1973 p1973
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The same supply shift (same horizontal distance
between supply curves) in the long-run (with much more elastic supply and demand) . . . . . . results in a more modest price increase. Q1973 price of crude p1973 quantity of SLR2 Other reasons for OPEC’s short- lived success? Breakdown in cartel discipline. (chapter 16) SLR1 DLR
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Market for illegal drugs and drug-related crime.
Costs to society: Ruined lives of addicts and their families are main costs, but . . . . . . there are additional significant costs because addicts often turn to crime to support their addiction. (Drug-related crime: robberies, thefts, muggings.) Drug-related crime victims’ losses, and law enforcement costs of fighting drug-related crime are additional costs of illegal, addictive drugs.
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Two strategies for fighting illegal addictive drugs.
Drug interdiction: Law enforcement efforts to reduce supply . . . . . . by catching and prosecuting pushers, intercepting drug shipments, finding and destroying illegal drug labs, etc. Drug education: Public educational efforts to decrease demand . . . . . . “Just say ‘No!’” “Drug-free zones” etc.
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Effects of drug interdiction:
price of illegal drugs quantity of illegal drugs S1 Demand -- very! inelastic Drug interdiction decreases supply . . . . . . increasing the street price of illegal drugs and, because demand is inelastic, increasing expenditure on illegal drugs. More drug-related crime.
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Effects of drug education:
price of illegal drugs quantity of illegal drugs S1 Demand -- very! inelastic Drug education decreases demand . . . . . . reducing drug consumption, price, and expenditure. Less drug-related crime.
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