1.
a. Mystery novels have
more elastic demand than required textbooks, because mystery novels have close
substitutes and are a luxury good, while required textbooks are a necessity with
no close substitutes. If the price of mystery novels were to rise, readers could
substitute other types of novels, or buy fewer novels altogether. But if the
price of required textbooks were to rise, students would have little choice but
to pay the higher price. Thus, the quantity demanded of required textbooks is
less responsive to price than the quantity demanded of mystery novels.
b. Beethoven recordings have more elastic demand than
classical music recordings in general. Beethoven recordings are a narrower
market than classical music recordings, so it is easy to find close substitutes
for them. If the price of Beethoven recordings were to rise, people could
substitute other classical recordings, like Mozart. But if the price of all
classical recordings were to rise, substitution would be more difficult. (A
transition from classical music to rap is unlikely!) Thus, the quantity demanded
of classical recordings is less responsive to price than the quantity demanded
of Beethoven recordings.
c. Subway rides during the next five years have more
elastic demand than subway rides during the next six months. Goods have a more
elastic demand over longer time horizons. If the fare for a subway ride was to
rise temporarily, consumers could not switch to other forms of transportation
without great expense or great inconvenience. But if the fare for a subway ride
was to remain high for a long time, people would gradually switch to alternative
forms of transportation. As a result, the quantity demanded of subway rides
during the next six months will be less responsive to changes in the price than
the quantity demanded of subway rides during the next five years.
d. Root beer has more elastic demand than water. Root beer
is a luxury with close substitutes, while water is a necessity with no close
substitutes. If the price of water were to rise, consumers have little choice
but to pay the higher price. But if the price of root beer were to rise,
consumers could easily switch to other sodas. So the quantity demanded of root
beer is more responsive to changes in price than the quantity demanded of water.
2.
a. For business
travelers, the price elasticity of demand when the price of tickets rises from
$200 to $250 is [(2,000 – 1,900)/1,950]/[(250 – 200)/225] = 0.05/0.22 = 0.23.
For vacationers, the price elasticity of demand when the price of tickets rises
from $200 to $250 is [(800 – 600)/700] / [(250 – 200)/225] = 0.29/0.22 = 1.32.
b. The price elasticity of demand for vacationers is higher
than the elasticity for business travelers because vacationers can choose more
easily a different mode of transportation (like driving or taking the train).
Business travelers are less likely to do so because time is more important to
them and their schedules are less adaptable.
3.
a. The percentage change
in price is equal to (2.20 – 1.00)/2.00 = 0.2 = 20%. If the price elasticity of
demand is 0.2, quantity demanded will fall by 4% in the short run [0.20 ´ 0.20].
If the price elasticity of demand is 0.7, quantity demanded will fall by 14% in
the long run [0.7
´
0.2].
b. Over time, consumers can make adjustments to their homes
by purchasing alternative heat sources such as natural gas or electric furnaces.
Thus, they can respond more easily to the change in the price of heating oil in
the long run than in the short run.
4. If quantity demanded fell, price must have risen.
If total revenue rose, then the percentage increase in the price must be
greater than the percentage decline in quantity demanded.
Therefore, demand is inelastic.
5. Both Billy and Valerie may be correct.
If demand increases, but supply is “totally” inelastic, equilibrium price
will rise but the equilibrium quantity will remain the same.
This would also occur if supply decreases and demand is “totally”
inelastic. Marian is incorrect.
If supply and demand both rise, equilibrium quantity will increase, but
the impact on equilibrium price is indeterminate.
6.
a.
If quantity demanded falls by 4.3% when price rises by 20%, the price
elasticity of demand is 4.3/20 = 0.215, which is fairly inelastic.
b. Because the demand is inelastic, the Transit Authority's
revenue rises when the fare rises.
c. The elasticity estimate might be unreliable because
it is only the first month after the fare increase. As time goes by, people may
switch to other means of transportation in response to the price increase. So
the elasticity may be larger in the long run than it is in the short run.
7.
a.
With a price elasticity of demand of 0.4, reducing the quantity demanded
of cigarettes by 20% requires a 50% increase in price, because 20/50 = 0.4. With
the price of cigarettes currently $2, this would require an increase in the
price to $3.33 a pack using the midpoint method (note that ($3.33 – $2)/$2.67 =
.50).
b. The policy will have a larger effect five years from now
than it does one year from now. The elasticity is larger in the long run,
because it may take some time for people to reduce their cigarette usage. The
habit of smoking is hard to break in the short run.
c. Because teenagers do not have as much income as
adults, they are likely to have a higher price elasticity of demand. Also,
adults are more likely to be addicted to cigarettes, making it more difficult to
reduce their quantity demanded in response to a higher price.