In the US cotton market, there are 500 identical competitive farms, each farm having the cost function C(q) = 162 +10q + 0.5q² where q is the quantity of cotton in tons produced by each farm. The market demand curve is given by Qd = 10,400 – 50p. (a) Calculate the market equilibrium price p*. (b) Suppose the government gives each farm a subsidy of $8 per ton. Calculate the long- run market price. (c) How many farmers will there be in the cotton market in the long run?

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter5: Supply, Demand, And Price: Applications
Section5.7: Application 7: Why Do Colleges Use Gpa,s Actss, And Sats, For Purposes Of Admission?
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In the US cotton market, there are 500 identical competitive farms, each farm having the
cost function C(q) = 162 + 10q + 0.5q² where q is the quantity of cotton in tons produced
by each farm. The market demand curve is given by Qd = 10,400 – 50p.
-
(a) Calculate the market equilibrium price p*.
(b) Suppose the government gives each farm a subsidy of $8 per ton. Calculate the long-
run market price.
(c) How many farmers will there be in the cotton market in the long run?
Transcribed Image Text:In the US cotton market, there are 500 identical competitive farms, each farm having the cost function C(q) = 162 + 10q + 0.5q² where q is the quantity of cotton in tons produced by each farm. The market demand curve is given by Qd = 10,400 – 50p. - (a) Calculate the market equilibrium price p*. (b) Suppose the government gives each farm a subsidy of $8 per ton. Calculate the long- run market price. (c) How many farmers will there be in the cotton market in the long run?
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