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Which of the follow statements about price discrimination is not true ?

Which of the follow statements about price discrimination is not true ?

A. Perfect price discrimination generates a deadweight loss
B. Price discrimination can raise economic welfare.
C. price discrimination requires that seller be able to separate buyers according to their willingness to pay.
D. Price discrimination increases a monopolist’s profits.
E. For a monopolist to engage in price discrimination buyers must be unable to engage in arbitrage.