Why is that a relevant test

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Are major-league baseball clubs profit-maximizing monopolies? Some observers of this market have contended that baseball club owners want to maximize attendance or revenue. Alexander (2001) says that one test of whether a firm is a profit-maximizing monopoly is to check whether the firm is operating in the elastic portion of its demand curve (which he finds is true). Why is that a relevant test? What would the elasticity be if a baseball club were maximizing revenue?

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