k (b) Show that the point elasticity of the demand curve Q = 1, where k is a positive constant and n is an integer, is independent of the price p. (c) A producer has the possibility of discriminating between the domestic and foreign market for a certain product with the following demand functions: QD=22-0.1pp and QF = 45 -0.3pF where, PD, QD- price and demand in the domestic market and PF, QF price and demand in the foreign market. The total cost function is C = 1500 + 10Q where, Q = (QD + QF). (i) What prices should the producer charge in order to maximize his total profit? (ii) What is the maximum total profit the producer can get?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter5: Price Elasticity Of Demand And Supply
Section: Chapter Questions
Problem 23SQ: If automobiles and gasoline are complements, then their cross-elasticity coefficient is a. strictly...
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k
(b) Show that the point elasticity of the demand curve Q = 1, where k is a positive
constant and n is an integer, is independent of the price p.
(c) A producer has the possibility of discriminating between the domestic and foreign market
for a certain product with the following demand functions:
QD=22-0.1pp and
QF = 45 -0.3pF
where, PD, QD- price and demand in the domestic market and
PF, QF price and demand in the foreign market.
The total cost function is C = 1500 + 10Q where, Q = (QD + QF).
(i) What prices should the producer charge in order to maximize his total profit?
(ii) What is the maximum total profit the producer can get?
Transcribed Image Text:k (b) Show that the point elasticity of the demand curve Q = 1, where k is a positive constant and n is an integer, is independent of the price p. (c) A producer has the possibility of discriminating between the domestic and foreign market for a certain product with the following demand functions: QD=22-0.1pp and QF = 45 -0.3pF where, PD, QD- price and demand in the domestic market and PF, QF price and demand in the foreign market. The total cost function is C = 1500 + 10Q where, Q = (QD + QF). (i) What prices should the producer charge in order to maximize his total profit? (ii) What is the maximum total profit the producer can get?
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