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标题: Reading 13: Elasticity-LOS a 习题精选 [打印本页]

作者: 1215    时间: 2011-3-6 15:19     标题: [2011]Session 4-Reading 13: Elasticity-LOS a 习题精选

Session 4: Economics: Microeconomic Analysis
Reading 13: Elasticity

LOS a: Calculate and interpret the elasticities of demand (price elasticity, cross elasticity, and income elasticity) and the elasticity of supply, and discuss the factors that influence each measure.

 

 

Assume that for the average consumer, the quantity demanded for gasoline increases from 15 gallons per week to 20 gallons per week response to a price decrease from $2.90 per gallon to $2.46 per gallon. Which of the following is closest to the price elasticity of demand for gasoline?

A)
-1.74.
B)
-1.65.
C)
-1.86


 

The percentage change in quantity demanded is (20 – 15) / [(20 + 15) / 2] = 28.57% and the percentage change in price is (2.46 - 2.90) / [(2.90 + 2.46) / 2] = -16.42%. Thus, price elasticity = 28.57% / -16.42% = -1.74.


作者: 1215    时间: 2011-3-6 15:20

Assume that Rajesh Singh’s income increased from $20,000 per year to $30,000 per year, and his demand for “store-brand” bread decreased from 80 loaves to 40 loaves per year. Which of the following most accurately describes Singh’s income elasticity for store-brand bread?

A)
Income elasticity is -1.67 and store-brand bread is an inferior good.
B)
Income elasticity is -0.60 and store-brand bread is an inferior good.
C)
Income elasticity is +1.00 and store-brand bread is a complimentary good.


Average income is ($20,000 + $30,000) / 2 = $25,000, so the percentage change in income is ($30,000 – $20,000) / $25,000 = 40.00%. The average quantity of bread demanded is (80 + 40) / 2 = 60 loaves, so the percentage change in the quantity of bread demanded is (40 – 80) / 60 = -66.67%. Income elasticity of store-brand bread is -66.67 / 40 = -1.67. Since Singh’s income elasticity of demand is negative, store-brand bread is an inferior good.


作者: 1215    时间: 2011-3-6 15:20

The percent change in demand for a good divided by the percent change in the price of another good is known as the:

A)
income elasticity of demand.
B)
price elasticity of demand.
C)
cross elasticity of demand.



作者: 1215    时间: 2011-3-6 15:20

If a 10% income increase caused a group of consumers to increase their purchases of television sets from 95 to 105, the group's income elasticity of demand for television sets would be closest to:

A)
1.00.
B)
0.10.
C)
2.00.


Income elasticity is the sensitivity of demand to changes in consumer income.

Income elasticity = (percent change in quantity demanded) / (percent change in income) = [(105 ? 95) / (100)] / 0.10 = 1


作者: 1215    时间: 2011-3-6 15:20

Price elasticity of demand is most accurately defined as the change in:

A)
market price in response to a change in the quantity demanded.
B)
quantity demanded in response to a change in income.
C)
quantity demanded in response to a change in market price.



作者: 1215    时间: 2011-3-6 15:20

George’s Appliance Center sells big screen televisions. On a representative model, when the price was reduced from $2,450 to $2,275, monthly demand increased from 175 to 211 units. What is the price elasticity of demand?

A)
-1.69.
B)
-2.53.
C)
-2.14.


Price elasticity of demand = % change in quantity demanded / % change in price

% change in quantity = (211 ? 175) / [(211 + 175)/2] = 0.187

% change in price = (2,275 ? 2,450) / [(2,275 + 2,450)/2] = -0.074

Price elasticity of demand = 0.187 / -0.074 = -2.53



作者: 1215    时间: 2011-3-6 15:21

If the admission price for a rock concert is raised from $25 to $30 causing sales to drop from 60,000 to 40,000, the price elasticity of demand for tickets to the concert is:

A)
2.20.
B)
-2.20.
C)
-1.67.


Price elasticity of demand is calculated by dividing the percent change in quantity demanded by the percent change in price, using the average value of the variable in the computations. The percent change in quantity demanded is (40,000 ? 60,000) / ((60,000 + 40,000) / 2) = -0.4. The percent change in price is (30 ? 25) / ((30 + 25) / 2) = 0.1818. The price elasticity of demand is -0.40 / 0.1818 = -2.2.


作者: 1215    时间: 2011-3-6 15:21

Suppose the price of computers increases from $1,000 to $1,200. Assuming the original quantity demanded for computers was 50 million units, and the new quantity demanded is 45 million computers, what is the price elasticity of demand, and is the demand for computers elastic or inelastic?

A)
0.58, inelastic.
B)
-1.73, elastic.
C)
-0.58, inelastic.


Price elasticity of demand is calculated by dividing the percent change in quantity demanded by the percent change in price, using the average value of the variable in the computations. The percent change in quantity demanded is (45 ? 50) / [(50 + 45) / 2] = ?5 / 47.5 = -0.105 or -10.5%. The percent change in price is = (1,200 ? 1,000) / [(1,000 + 1,200) / 2] = 200 / 1,100 = 0.1818 or 18.2% . The price elasticity of demand is -10.5 / 18.2 = -0.58.


作者: 1215    时间: 2011-3-6 15:21

Antonio Conti consumes 2 pounds of beef per week when beef is $4.50 per pound and 3 pounds of chicken when chicken sells for $3.50 per pound. If the price of chicken increases to $4.00 per pound, Conti’s consumption of beef increases to 2.5 pounds per week. Which of the following most accurately describes Conti’s cross elasticity of demand for beef versus chicken? The cross elasticity of demand for:

A)
beef relative to chicken is +1.67 and beef and chicken are substitutes.
B)
beef relative to chicken is +1.67 and beef and chicken are complimentary goods.
C)
chicken relative to beef is +1.75 and beef and chicken are substitutes.


The average quantity of beef demanded is (2.0 + 2.5) / 2 = 2.25 pounds, so the percentage change in the quantity of beef demanded is (2.5 – 2.0) / 2.25 = +22.22%. The average price of chicken is ($3.50 + $4.00) / 2 = $3.75 per pound, so the percentage change in the price of chicken ($4.00 – $3.50) / $3.75 = +13.33%. The cross elasticity of demand for beef relative to the price of chicken is 22.2 / 13.3 = 1.67. Since the cross elasticity is positive, chicken and beef are substitutes for Conti.


作者: 1215    时间: 2011-3-6 15:21

Assume that for the average consumer, the quantity demanded for jeans increases from 5 to 7 pairs per year in response to a price decrease from $29 to $24 per pair. The respective price elasticity and relative elasticity of demand for jeans is best described by which of the following?

A)
?1.77; relatively inelastic.
B)
?2.32; relatively elastic.
C)
?1.77; relatively elastic.


The percentage change in quantity demanded is (7 ? 5) / [(7 + 5) / 2] = 33.33% and the percentage change in price is (24 ? 29) / [(24 + 29) / 2] = -18.87%. Thus, price elasticity = 33.33% / -18.87% = -1.77.

A good is considered to be elastic if the absolute value of price elasticity is greater than 1. In this case, the absolute value of the price elasticity of demand for jeans is 1.77, so the price elasticity for jeans is relatively elastic.


作者: 1215    时间: 2011-3-6 15:22

Marko Tskitishvili, an economist, has been studying the drop in the price of the average household computer in the U.S. and wonders if computers should still be considered a luxury good or if it has now become a normal good. He conducts a survey of 500 people and finds the following:

 

1998

2005

Avg. Household Income

$41,000

$53,000

Avg. Computers Purchased per Household

0.42

0.57

*Assume that 1998 is the base rate.

Based on the above data, Tskitishvili would conclude that a computer is a:

A)
luxury good with income elasticity of 1.18.
B)
luxury good with income elasticity of 1.01.
C)
normal good with income elasticity of 0.84.


% change in computers demanded = ( 0.57- 0.42) / 0.495 = 30.30%
% change in income = ($53,000 - $41,000) / $47,000 = 25.53%
30.30% / 25.53% = 1.18

1.18 > 1 so Tskitishvili would conclude that computers are a luxury good.


作者: 1215    时间: 2011-3-6 15:23

If quantity demanded declines 20% when incomes fall 3%, this good is:

A)
a necessity.
B)
an inferior good.
C)
a luxury good.


Income elasticity is the sensitivity of demand to changes in consumer income. Income elasticity for this good = (percent change in quantity demanded) / (percent change in income) = -20 / -3 = 6.7. Normal goods with high income elasticities (absolute values > 1) are considered luxury goods, a type of normal good that experiences a greater percentage increase in demand than the percentage increase in income.


作者: 1215    时间: 2011-3-6 15:23

Income elasticity is defined as the:

A)
change in quantity demanded divided by the change in income.
B)
percentage change in the quantity demanded divided by the percentage change in income.
C)
percentage change in income divided by the percentage change in the quantity demanded.


Income elasticity is defined as the percentage change in quantity demanded divided by the percentage change in income. Normal goods have positive values for income elasticity and inferior goods have negative income elasticities.


作者: 1215    时间: 2011-3-6 15:23

When household incomes go down and the quantity of a product demanded goes up, the product is:

A)
an inferior good.
B)
a necessity.
C)
a normal good.


When household incomes go down and the quantity demanded of a product goes up, the product is an inferior good. Inferior goods include things like bus travel and margarine.


作者: 1215    时间: 2011-3-6 15:24

If the price elasticity of demand is -1.5 and you increase the price of the product 2%, the quantity demanded will (closest to):

A)
decrease 3%.
B)
decrease 1.5%.
C)
decrease 0.75%.


If the price elasticity of demand is -1.5, and you increase the price of the product 2%, the quantity demanded will decrease approximately 3%. When the price elasticity is negative, it means that price and demand move in opposite directions. Given a price decrease, demand will increase and vice versa. The absolute value, 1.5, indicates that demand will move one-and-a-half times as much as price.


作者: 1215    时间: 2011-3-6 15:24

If the price of a candy bar increases from $0.50 to $0.55 and the quantity demanded decreases from 267 to 235, the price elasticity of demand is:

A)
-1.34.
B)
1.34.
C)
-1.23.


Price elasticity of demand is calculated by dividing the percent change in quantity demanded by the percent change in price, using the average value of the variable in the computations. The percent change in quantity demanded is (235 ? 267) / [(235 + 267) / 2] = -32 / 251 = -0.127 or -12.7%. The percent change in price is = (0.55 ? 0.50) / [(0.55 + 0.50) / 2] = 0.05 / 0.525 = 0.095 or 9.5%. The price elasticity of demand is -12.7 / 9.5 = -1.34.


作者: 1215    时间: 2011-3-6 15:24

If the price elasticity of demand is 1.5 and a change in the price of the product increases the quantity demanded by 4%, then what is the percent change in price?

A)
+2.667%.
B)
?2.667%.
C)
–0.375%.


Price elasticity of demand is calculated by dividing the percent change in quantity demanded by the percent change in price. The percent change in price is, therefore, the percent change in quantity demanded divided by the price elasticity of demand = 4 / 1.5 = 2.667.

Because of the inverse relationship between quantity demanded and price, the price elasticity is always going to be negative although economists usually ignore the negative sign and just use the absolute value. To properly predict the price change a negative sign needs to be added to the price elasticity before the calculation or to the answer after the calculation.

Using the latter case, the 2.667% will become -2.667%, showing that an increase in quantity demanded of 4% will cause a decrease in the price of 2.667% when the price elasticity is 1.5 (-1.5).


作者: 1215    时间: 2011-3-6 15:24

If the price elasticity of demand for a good is 4.0, then a 10% increase in price would result in a:

A)
4% decrease in the quantity demanded.
B)
40% decrease in the quantity demanded.
C)
10% decrease in the quantity demanded.


Price elasticity of demand = (% change in Q demanded / % change in price). Given the price elasticity of demand and the percentage change in price, we can solve for the percentage change in Q demanded.


作者: 1215    时间: 2011-3-6 15:24

The price of product Z decreased from $2.50 per unit to $2.00 per unit.  Since the price decreased, demand has gone up from 3 million units to 4 million units.  Calculate the respective price elasticity of demand and determine the elasticity of demand.

A)
?1.29; elastic.
B)
?1.29; inelastic.
C)
?2.00; elastic.


percentage change in quantity = [(4 ? 3)] / [(4 + 3) / 2] = 1 / 3.5 = 0.286 = 28.6%

percentage change in price = [(2 ? 2.5)] / [(2 + 2.5) / 2] = -0.5 / 2.25 = -0.222 = -22.2%

28.6 % / -22.2% = -1.29

Since the price elasticity of demand is greater than 1 (ignore the sign), product Z is elastic


作者: 1215    时间: 2011-3-6 15:25

If the number of widgets demanded changes from 51 to 49 when the price changes from $4 to $6, the price elasticity of demand is:

A)
Elastic.
B)
-2.00.
C)
-0.10.


Price elasticity of demand is calculated by dividing the percent change in quantity demanded by the percent change in price, using the average value of the variable in the computations. The percent change in quantity demanded is (51 – 49) / ((51 + 49) / 2) = 0.04. The percent change in price is (4 – 6) / (4 + 6) / 2 = -0.40. The price elasticity of demand is 0.04 / -0.4 = -0.10.


作者: 1215    时间: 2011-3-6 15:25

Suppose that the demand curve for soybeans shifts such that the equilibrium price of soybeans decreases 58%. At the new equilibrium price, the quantity that soybean suppliers are willing to provide decreases by 3%. Which of the following most accurately describes the respective elasticity of supply and relative elasticity for soybeans?

A)
+19.33; inelastic.
B)
+0.05; inelastic.
C)
?0.05; elastic.


A perfectly inelastic supply curve is vertical (elasticity = 0). In this case, the elasticity of supply is close to zero. Therefore the supply of soybeans is relatively inelastic.

作者: 1215    时间: 2011-3-6 15:25

Which of the following most accurately describes elasticity of supply? Elasticity of supply is the percentage change in the quantity supplied divided by the percentage change in:

A)
price and it equals zero when supply is perfectly elastic.
B)
quantity demanded and it equals infinity when supply is perfectly inelastic.
C)
price and it equals zero when supply is perfectly inelastic.


Elasticity of supply equals zero when the supply curve is vertical, indicating perfectly inelastic supply.

作者: 1215    时间: 2011-3-6 15:26

Suppose that the demand curve for honey shifts such that the equilibrium price for a pound of honey increases from $7 to $9 per pound. At the new equilibrium, the quantity supplied increases from 500 pounds per month to 600 pounds per month, although the supply curve has not shifted. The elasticity of supply for honey is closest to:

A)
+0.91.
B)
+0.73.
C)
+1.12.


The average quantity of honey supplied is (500 + 600) / 2 = 550 pounds, and the average price of honey ($7 + $9) / 2 = $8 per pound. So, the percentage change in quantity is (600 – 500) / 550 = 18.18% and the percentage change in price is (9 - 7) / 8 = 25.00%. Thus, the elasticity of supply is 18.18 / 25.00 = +0.73.


作者: 1215    时间: 2011-3-6 15:26

Gene Bawerk, an economics professor, is lecturing on the factors that influence the price elasticity of demand. He makes the following assertions:

Statement 1: For most goods, demand is more elastic in the long run than the short run.

Statement 2: Demand for a good becomes more elastic when a close substitute for it becomes available on the market.

With respect to Bawerk’s statements:

A)
only statement 1 is correct.
B)
both are correct.
C)
only statement 2 is correct.


Both of these statements are accurate. Price elasticity for most goods is greater in the long run because individuals can make long-term decisions that require different quantities of the good, such as buying more fuel efficient vehicles to use less gasoline. Price elasticity is greater the better the available substitutes because an increase in price will lead more buyers to switch to the substitute products.


作者: 1215    时间: 2011-3-6 15:26

The demand for a product tends to be price inelastic if:

A)
few good complements for the product are available.
B)
few good substitutes for the product are available.
C)
people spend a large share of their income on the product.


If a large price change results in a small change in quantity demanded, demand is inelastic. Cigarettes are an example of a good with inelastic demand.


作者: 1215    时间: 2011-3-6 15:26

Which of the following is least likely to affect the elasticity of supply for a good?

A)
The uniqueness of production inputs.
B)
The time frame for making the supply decision.
C)
The relative amount of income spent on the good.


Elasticity of supply is influenced by the time frame within which the supply decision is made and the ability to make substitutions between productive resources. Unique inputs do not have good substitutes. The relative amount of income spent on a good is a determinant of the price elasticity of demand.


作者: 1215    时间: 2011-3-6 15:27

Economics commentator Gail Brythe is discussing the different factors that influence the elasticity of supply. She states the following:

Statement 1: Elasticity of supply is greater when a good or service can only be produced with unique or rare inputs.

Statement 2: Typically, a good’s momentary supply elasticity is higher than its short-run supply elasticity, which in turn is higher than its long-run supply elasticity.

With respect to Brythe’s statements:

A)
only statement 1 is incorrect.
B)
only statement 2 is incorrect.
C)
both are incorrect.


Both statements are incorrect. Elasticity of supply (i.e., the responsiveness of the supply of a good to changes in its price) is low when a good can only be produced with rare or unique inputs, because the potential output of the good is constrained by the availability of those inputs. Supply elasticity is lowest in the momentary time frame because producers typically cannot change the output of a good immediately. Supply becomes more elastic as the time frame increases because long-run adjustments in capital investment and technology lead to greater changes in profit maximizing output levels.


作者: luqian55    时间: 2011-9-29 15:51

thanks a lot




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