The demand for bicycles is given by the equation: Q = 1000 – 5P - There are currently 100 identical firms in this competitive market, each with the cost function: 25 C(q) - + 20g + 50 a) Calculate the short-run market equilibrium, including the market price and quantity, the number of units each firm will produce, and the profits of each firm. How much profit and producer surplus is each firm earning? b) If the government imposes a per unit tax of $90 per bicycle, how would this change the market equilibrium? How would the tax burden be shared by the consumers and bicycle manufacturers? c) If the government decides not to impose the tax, what is the long run equilibrium to include the market price and quantity, and the number of firms in the market? Assume the costs of the firms stay the same in the long run.
The demand for bicycles is given by the equation: Q = 1000 – 5P - There are currently 100 identical firms in this competitive market, each with the cost function: 25 C(q) - + 20g + 50 a) Calculate the short-run market equilibrium, including the market price and quantity, the number of units each firm will produce, and the profits of each firm. How much profit and producer surplus is each firm earning? b) If the government imposes a per unit tax of $90 per bicycle, how would this change the market equilibrium? How would the tax burden be shared by the consumers and bicycle manufacturers? c) If the government decides not to impose the tax, what is the long run equilibrium to include the market price and quantity, and the number of firms in the market? Assume the costs of the firms stay the same in the long run.
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.6P
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![The demand for bicycles is given by the equation:
Q = 1000 – 5P
There are currently 100 identical firms in this
competitive market, each with the cost function:
25
C(q) =9 +204 + 50
2
%3!
Calculate the short-run market equilibrium,
including the market price and quantity, the number
of units each firm will produce, and the profits of
each firm. How much profit and producer surplus is
each firm earning?
a)
b) If the government imposes a per unit tax of $90 per
bicycle, how would this change the market
equilibrium? How would the tax burden be shared
by the consumers and bicycle manufacturers?
c) If the government decides not to impose the tax,
what is the long run equilibrium to include the
market price and quantity, and the number of firms
in the market? Assume the costs of the firms stay
the same in the long run.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd677bd59-d83b-4750-814a-bb19e2ec6fd6%2Ff610cad3-8c3f-4b9d-9dfe-1bd1f1c9e52b%2Fvlwtjen_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The demand for bicycles is given by the equation:
Q = 1000 – 5P
There are currently 100 identical firms in this
competitive market, each with the cost function:
25
C(q) =9 +204 + 50
2
%3!
Calculate the short-run market equilibrium,
including the market price and quantity, the number
of units each firm will produce, and the profits of
each firm. How much profit and producer surplus is
each firm earning?
a)
b) If the government imposes a per unit tax of $90 per
bicycle, how would this change the market
equilibrium? How would the tax burden be shared
by the consumers and bicycle manufacturers?
c) If the government decides not to impose the tax,
what is the long run equilibrium to include the
market price and quantity, and the number of firms
in the market? Assume the costs of the firms stay
the same in the long run.
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