Consider an industry with two possible long-run cost functions. There are no quasi-fixed costs in this industry: MC₁=y C₁ = (y^2)/2 Demand is given by: P =25-x/2 C₂-Sy MC₂ 5 a. What are the supply functions for firms of both types? b. Find the equilibrium price, quantity, and number of firms of each type in a competitive long-run equilibrium. Is there a long-run equilibrium? c. Suppose the government intervened and limited the number of type 1 firms to be N = 5. What is the market supply function? d. Find the equilibrium price and quantity in the market now. What is the aggregate quantity produced by type 1 firms? What is the aggregate quantity produced by type 2 firms?

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Consider an industry with two possible long-run cost functions. There are no quasi-fixed costs in
this industry:
C= (y^2)/2
Demand is given by: P= 25 – x/2
MC1=y
C: = 5y
MC2=5
a. What are the supply functions for firms of both types?
b. Find the equilibrium price, quantity, and number of firms of cach type in a competitive
long-run equilibrium. Is there a long-run equilibrium?
c. Suppose the government intervened and limited the number of type 1 firms to be N = 5.
What is the market supply function?
d. Find the equilibrium price and quantity in the market now. What is the aggregate
quantity produced by type 1 firms? What is the aggregate quantity produced by type 2
firms?
Transcribed Image Text:Consider an industry with two possible long-run cost functions. There are no quasi-fixed costs in this industry: C= (y^2)/2 Demand is given by: P= 25 – x/2 MC1=y C: = 5y MC2=5 a. What are the supply functions for firms of both types? b. Find the equilibrium price, quantity, and number of firms of cach type in a competitive long-run equilibrium. Is there a long-run equilibrium? c. Suppose the government intervened and limited the number of type 1 firms to be N = 5. What is the market supply function? d. Find the equilibrium price and quantity in the market now. What is the aggregate quantity produced by type 1 firms? What is the aggregate quantity produced by type 2 firms?
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