Suppose that the market for bottled water can be represented by the following equations: Demand: P = 10 - 2QD Supply: P = 1 + 0.5QS where P is the price per gallon, and Q represents quantity of purified water, represented in millions of gallons of water consumed. a) Calculate the equilibrium price and quantity of bottled water. b) Concerned over high water prices after the winter storm, the government sets a price ceiling of $2.25 per gallon of water. What is the new quantity of water sold in the market? Use supply and demand curves to illustrate your answer, showing both the original equilibrium from part a) and the new quantity sold with the price ceiling. c) Calculate the producer surplus and consumer surplus at the initial equilibrium price and quantity from part a). d) Calculate the new producer surplus and consumer surplus with the price ceiling from part b). e) How does the total consumer and producer surplus in part c) compare to the total consumer and producer surplus in part d)? What explains the difference in these two figures?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter5: Markets In Motion And Price Controls
Section: Chapter Questions
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Suppose that the market for bottled water can be represented by the following equations:

Demand: P = 10 - 2QD
Supply: P = 1 + 0.5QS
where P is the price per gallon, and Q represents quantity of purified water, represented in
millions of gallons of water consumed.
a) Calculate the equilibrium price and quantity of bottled water.
b) Concerned over high water prices after the winter storm, the government sets a price
ceiling
of $2.25 per gallon of water. What is the new quantity of water sold in the
market? Use supply and demand curves to illustrate your answer, showing both the
original equilibrium from part a) and the new quantity sold with the price ceiling.
c) Calculate the producer surplus and consumer surplus at the initial equilibrium price
and quantity from part a).
d) Calculate the new producer surplus and consumer surplus with the price ceiling from
part b).
e) How does the total consumer and producer surplus in part c) compare to the total
consumer and producer surplus in part d)? What explains the difference in these two
figures?

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