Suppose that the perfectly competitive market for milk is made up of identical firms with long-run total cost functions given by TC(Q) = 5Q³ − 30Q² +500, where Q is a gallon of milk. Assume that these cost functions are independent of the number of firms in the market and that firms may enter or exit the market freely. Market demand is Q¹ = 10,000 - 200P. Suppose that the long-run equilibrium price is $5, the quantity produced by each firm is 3, and the number of firms in the industry is 3,000 firms. Suppose that market demand increases to Q₂ = 14,000 - 200P. Solve for the new long-run competitive equilibrium number of firms. Give your answer as a whole number.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose that the perfectly competitive market for milk is made up of identical firms with long-run total cost functions given by
TC(Q) = 5Q³ – 30Q² +500, where Q is a gallon of milk. Assume that these cost functions are independent of the number of
firms in the market and that firms may enter or exit the market freely. Market demand is QD = 10,000 - 200 P. Suppose that the
long-run equilibrium price is $5, the quantity produced by each firm is 3, and the number of firms in the industry is 3,000 firms.
Suppose that market demand increases to Q₂ = 14,000 - 200P. Solve for the new long-run competitive equilibrium number of
firms. Give your answer as a whole number.
number of firms:
Transcribed Image Text:Suppose that the perfectly competitive market for milk is made up of identical firms with long-run total cost functions given by TC(Q) = 5Q³ – 30Q² +500, where Q is a gallon of milk. Assume that these cost functions are independent of the number of firms in the market and that firms may enter or exit the market freely. Market demand is QD = 10,000 - 200 P. Suppose that the long-run equilibrium price is $5, the quantity produced by each firm is 3, and the number of firms in the industry is 3,000 firms. Suppose that market demand increases to Q₂ = 14,000 - 200P. Solve for the new long-run competitive equilibrium number of firms. Give your answer as a whole number. number of firms:
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