(a) Let the industry producing soybeans be in a long-run equilibrium. What is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel of soybeans? (b)  Suppose that the demand for soybeans drops due to decreased im- port by China and becomes Q = 15.3 − p. In a new long run equilibrium, what is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel? (c) Calculate the change in the producers’ surplus between the situations described in (a) and (b). (d)  Show that the decrease in the producers’ surplus equals to the decrease in the total shipping fees as the industry contracts incrementally from the equilibrium output in (a) to the equilibrium output in (b)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.7P
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(a) Let the industry producing soybeans be in a long-run equilibrium. What is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel of soybeans?

(b)  Suppose that the demand for soybeans drops due to decreased im- port by China and becomes

Q = 15.3 − p.

In a new long run equilibrium, what is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel?

(c) Calculate the change in the producers’ surplus between the situations described in (a) and (b).

(d)  Show that the decrease in the producers’ surplus equals to the decrease in the total shipping fees as the industry contracts incrementally from the equilibrium output in (a) to the equilibrium output in (b).

A perfectly competitive industry that pro-
duces soybeans consists of many farmers that can produce 45 bushels
per acre at a minimal average cost $9 per bushel. The average size of
a soybean field is 5,000 acres. Each producer of soybeans must also
pay shipping fees for its output, and the shipping fee $s per bushel.
Assume that
s =0.8Q,
where Q is the total industry output in units of billions of bushels
of soybeans. The demand for soybeans (also measured in billions of
bushels) is given by
Q = 15.75 – P,
where p is the price of one bushel of soybeans.
(a) Let the industry producing soybeans be in a long-run equilibrium.
What is the equilibrium price of a bushel of soybeans? How many
billions of bushels are produced? How many farmers are there in
the industry? What is the shipping fee per bushel of soybeans?
Transcribed Image Text:A perfectly competitive industry that pro- duces soybeans consists of many farmers that can produce 45 bushels per acre at a minimal average cost $9 per bushel. The average size of a soybean field is 5,000 acres. Each producer of soybeans must also pay shipping fees for its output, and the shipping fee $s per bushel. Assume that s =0.8Q, where Q is the total industry output in units of billions of bushels of soybeans. The demand for soybeans (also measured in billions of bushels) is given by Q = 15.75 – P, where p is the price of one bushel of soybeans. (a) Let the industry producing soybeans be in a long-run equilibrium. What is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel of soybeans?
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