Parts d and e refer to a single-price profit-maximising monopolist whose demand curve and total cost curve are given by: P = AQ¬0.5 TC = 10 + 0.75Q where TC is measured in £k per week and Q represents output measured in 1000s of units per week. d) Show that the price elasticity of demand is constant, for all values of A, and is always equal to -2. e) What is the profit-maximising output, and the monopolist's total profit?

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter10: Monopoly
Section: Chapter Questions
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Parts d and e refer to a single-price profit-maximising monopolist whose demand curve and
total cost curve are given by:
P = AQ-0.5
TC =
= 10 + 0.75Q
where TC is measured in £k per week and Q represents output measured in 1000s of units
per week.
d) Show that the price elasticity of demand is constant, for all values of A, and is
always equal to –2.
e) What is the profit-maximising output, and the monopolist's total profit?
Transcribed Image Text:Parts d and e refer to a single-price profit-maximising monopolist whose demand curve and total cost curve are given by: P = AQ-0.5 TC = = 10 + 0.75Q where TC is measured in £k per week and Q represents output measured in 1000s of units per week. d) Show that the price elasticity of demand is constant, for all values of A, and is always equal to –2. e) What is the profit-maximising output, and the monopolist's total profit?
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