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Characteristics of pure monopoly

This is untrue that a firm which is a pure monopoly: (1) commonly engages in extensive advertising to differentiate its products. (2) produces a level of output which is closer to socially optimal when this price discriminates. (3) is the sole producer of a good along with no close substitutes. (4) can generate economic profit only when the demand curve this faces is greater than its average costs across some range of production. (5) may be capable to survive in the long run even when its managers operate the firm inefficiently.

How can I solve my Economics problem? Please suggest me the correct answer.

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