Given below are the demand and supply functions for three interdependent commodities.              Qd1 = 90 – 2P1 + 3P2 – 5P3           ;       Qs1 = P1 – 10              Qd2 = 36 + 3P1 – 3P2 + 2P3           ;     Qs2 = –14 + P2               Qd3 = 45 – 3P1 + 3P2 – 3P3            ;       Qs3 = P3 – 20       a.      Determine the equilibrium prices and quantities for the three commodity Market model.                                                                                                           b. Compute the price and cross elasticities of demand for all three markets and interpret their coefficients.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.13P
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Given below are the demand and supply functions for three interdependent commodities.

             Qd1 = 90 – 2P1 + 3P2 – 5P3           ;       Qs1 = P1 – 10

             Qd2 = 36 + 3P1 – 3P2 + 2P3           ;     Qs2 = –14 + P

             Qd3 = 45 – 3P1 + 3P2 – 3P3            ;       Qs3 = P3 – 20    

 

a.      Determine the equilibrium prices and quantities for the three commodity Market model.                                                                                                          

b. Compute the price and cross elasticities of demand for all three markets and interpret their coefficients.      

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