A dominant or price setting firm and several smaller price takers serve a market where total market demand is Qd = 560 – 2P and the combined supply from all the smaller firms is Qs = - 60 + 2P. Does this market meet the assumptions that the dominant firm has at least a market share of 50%? (you must motivate your answer numerically)

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
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A dominant or price setting firm and several smaller price takers serve a market where total market demand is Qd = 560 – 2P and the combined supply from all the smaller firms is Qs = - 60 + 2P.

Does this market meet the assumptions that the dominant firm has at least a market share of 50%? (you must motivate your answer numerically)

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