The inverse demand function for the market is Р%3D 100 — Qт where Qr is total output, the sum of output from the fringe (QF) and from the dominant firm (QD): Qr = Qr + Qp. For example, in the global oil market, the dominant firm may be OPEC, and the fringe may consist of nations producing oil that do not belong to OPEC. Assume that the fringe is competitive and that the dominant firm behaves like a monopoly. The marginal cost function for the fringe is MC; = 20 + QF and the marginal cost function for the dominant firm is MC, 10 + QD. (1) Solve this model for the market price and for the amount of output from the fringe (QF) and from the dominant firm (QD). (2) Is this market outcome efficient?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.3P
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The inverse demand function for the market is
P =
100 – Qr
where Qr is total output, the sum of output from the fringe (QF) and from the dominant firm (QD):
Qr = QF + QD-
For example, in the global oil market, the dominant firm may be OPEC, and the fringe may consist
of nations producing oil that do not belong to OPEC. Assume that the fringe is competitive and that
the dominant firm behaves like a monopoly.
The marginal cost function for the fringe is
MC; =
= 20 + QF
and the marginal cost function for the dominant firm is
MC, = 10 + QD-
(1) Solve this model for the market price and for the amount of output from the fringe (QF) and
from the dominant firm (QD).
(2) Is this market outcome efficient?
Transcribed Image Text:The inverse demand function for the market is P = 100 – Qr where Qr is total output, the sum of output from the fringe (QF) and from the dominant firm (QD): Qr = QF + QD- For example, in the global oil market, the dominant firm may be OPEC, and the fringe may consist of nations producing oil that do not belong to OPEC. Assume that the fringe is competitive and that the dominant firm behaves like a monopoly. The marginal cost function for the fringe is MC; = = 20 + QF and the marginal cost function for the dominant firm is MC, = 10 + QD- (1) Solve this model for the market price and for the amount of output from the fringe (QF) and from the dominant firm (QD). (2) Is this market outcome efficient?
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