1. The inverse demand curve for the product of a perfectly competi- tive industry is given by P = 160-0.5Q, where P is the price per unit and Q is the quantity. The short-run industry inverse supply curve (for a given number of firms) is P = 100+ 0.25Q. (a) Calculate the equilibrium price and quantity, and hence cal- culate the consumers' surplus and producers' surplus. A tax of 15 per unit sold is now imposed on every unit sold. Calculate the new short-run equilibrium price (including tax) and quantity, and hence calculate the revenue raised. What is the deadweight loss (excess burden) of the tax?
1. The inverse demand curve for the product of a perfectly competi- tive industry is given by P = 160-0.5Q, where P is the price per unit and Q is the quantity. The short-run industry inverse supply curve (for a given number of firms) is P = 100+ 0.25Q. (a) Calculate the equilibrium price and quantity, and hence cal- culate the consumers' surplus and producers' surplus. A tax of 15 per unit sold is now imposed on every unit sold. Calculate the new short-run equilibrium price (including tax) and quantity, and hence calculate the revenue raised. What is the deadweight loss (excess burden) of the tax?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:MICROECONOMICS - PROBLEM SET 4
MARKET STRUCTURE
1. The inverse demand curve for the product of a perfectly competi-
tive industry is given by
P = 160-0.5Q,
where P is the price per unit and Q is the quantity. The short-run
industry inverse supply curve (for a given number of firms) is
P = 100+ 0.25Q.
(a) Calculate the equilibrium price and quantity, and hence cal-
culate the consumers' surplus and producers' surplus.
A tax of 15 per unit sold is now imposed on every unit sold.
Calculate the new short-run equilibrium price (including tax)
and quantity, and hence calculate the revenue raised. What
is the deadweight loss (excess burden) of the tax?
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Step 1: State the given information:
VIEWStep 2: Determine equilibrium price and quantity:
VIEWStep 3: Determine the consumer and producer surplus at equilibrium:
VIEWStep 4: Determine the new short run equilibrium price and quantity after tax:
VIEWStep 5: Determine the government revenue and deadweight loss due to tax:
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