Given below are the demand and supply functions for three interdependent commodities. Qd1 = 110 – 4P1 + 3P2 – 4P3 ; Qs1 = 2P1 – 20 Qd2 = 46 + 2P1 – 4P2 + 4P3 ; Qs2 = –14 + 2P2 Qd3 = 20 – P1 + 4P2 – 2P3 ; Qs3 = 2P3 – 10 Determine the equilibrium prices and quantities for the three commodity Market model. Then compute the price and cross elasticities of demand for the third market and interpret their coefficients.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.6P
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Given below are the demand and supply functions for three interdependent commodities.
Qd1 = 110 – 4P1 + 3P2 – 4P3 ; Qs1 = 2P1 – 20
Qd2 = 46 + 2P1 – 4P2 + 4P3 ; Qs2 = –14 + 2P2
Qd3 = 20 – P1 + 4P2 – 2P3 ; Qs3 = 2P3 – 10
Determine the equilibrium prices and quantities for the three commodity Market model. Then compute the
price and cross elasticities of demand for the third market and interpret their coefficients.

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