Three products compete in a market and their demand and supply functions are                      qd1 = 44-2p1+p2+p3                            qs1 = -10+3p1                      qd2 = 25+ p1 –p2 +3p3                         qs2 = -15+5p2                      qd3 = 40 +2p1+p2 -3p3                          qs3 = -18+2p3 where p1, p2, and p3 are the prices. Determine the prices and quantities which result in equilibrium in each market using Cramer’s rule.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter13: best-practice Tactics: Game Theory
Section: Chapter Questions
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  1. Three products compete in a market and their demand and supply functions are

                     qd1 = 44-2p1+p2+p3                            qs1 = -10+3p1

                     qd2 = 25+ p1 –p2 +3p3                         qs2 = -15+5p2

                     qd3 = 40 +2p1+p2 -3p3                          qs3 = -18+2p3

where p1, p2, and p3 are the prices. Determine the prices and quantities which result in equilibrium in each market using Cramer’s rule.                                       

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