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In a competitive industry, i.e., firms take the price as given, the price elasticity of the aggregated supply by two firms will always be

In a competitive industry, i.e., firms take the price as given, the price elasticity of the aggregated supply by two firms will always be greater than or equal to the price elasticity of the supply of each of the firms. Is this statement true or false? Explain using words, math, or graphs.

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