Suppose we have many firms each with an individual supply curve of g$= ½ P). Assume that firms have a quasi-fixed cost of $5000 (that is COST = 0 if they exit but COSTS = 5000 + variable costs if they are open). Hence Cost =q² + 5000 if active. Individual demand is Qº= 100-½ P (a)_Let there be n = 100 firms and 500 consumers. What is the equilibrium market price, output per firm, and consumption per consumer given the fixed number of firms? Show and explain.< (b) Find each consumer's Consumer Surplus. Show your work.< (c) Find profits per firm. What does this imply for entry/exit decisions? Show your work. (d) Now let the number of firms change so that each firm's profits are zero. How many firms will there be in the long-run equilibrium? Show and explain why the long-run equilibrium price is $141.42. <
Suppose we have many firms each with an individual supply curve of g$= ½ P). Assume that firms have a quasi-fixed cost of $5000 (that is COST = 0 if they exit but COSTS = 5000 + variable costs if they are open). Hence Cost =q² + 5000 if active. Individual demand is Qº= 100-½ P (a)_Let there be n = 100 firms and 500 consumers. What is the equilibrium market price, output per firm, and consumption per consumer given the fixed number of firms? Show and explain.< (b) Find each consumer's Consumer Surplus. Show your work.< (c) Find profits per firm. What does this imply for entry/exit decisions? Show your work. (d) Now let the number of firms change so that each firm's profits are zero. How many firms will there be in the long-run equilibrium? Show and explain why the long-run equilibrium price is $141.42. <
Chapter1: Making Economics Decisions
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Problem 1QTC
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![Suppose we have many firms each with an individual supply curve of g$= ½ P). Assume that firms have
a quasi-fixed cost of $5000 (that is COST = 0 if they exit but COSTS = 5000 + variable costs if they are
open). Hence Cost = q² + 5000 if active. Individual demand is Qº= 100 - ½ P
(a)_Let there be n = 100 firms and 500 consumers. What is the equilibrium market price, output per
firm, and consumption per consumer given the fixed number of firms? Show and explain.
(b)_Find each consumer's Consumer Surplus. Show your work.<
(c) Find profits per firm. What does this imply for entry/exit decisions? Show your work. <
(d) Now let the number of firms change so that each firm's profits are zero. How many firms will
there be in the long-run equilibrium? Show and explain why the long-run equilibrium price is
$141.42. <](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf4d5614-e5fa-4399-aabc-c345eeef0588%2F5fa814ff-e985-49e4-aa72-d6c183a22cbc%2Flhr0qdt_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose we have many firms each with an individual supply curve of g$= ½ P). Assume that firms have
a quasi-fixed cost of $5000 (that is COST = 0 if they exit but COSTS = 5000 + variable costs if they are
open). Hence Cost = q² + 5000 if active. Individual demand is Qº= 100 - ½ P
(a)_Let there be n = 100 firms and 500 consumers. What is the equilibrium market price, output per
firm, and consumption per consumer given the fixed number of firms? Show and explain.
(b)_Find each consumer's Consumer Surplus. Show your work.<
(c) Find profits per firm. What does this imply for entry/exit decisions? Show your work. <
(d) Now let the number of firms change so that each firm's profits are zero. How many firms will
there be in the long-run equilibrium? Show and explain why the long-run equilibrium price is
$141.42. <
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