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Let firm A face demand curve QA = 100 - PA + .5PB and firm B face demand curve QB = 100 - PB + .5PA. Products A and B both have constant marginal cost of production of 10 per unit (and no fixed cost) . Each firm acts as a Bertrand competitor. What is firm B's profit-maximizing price when firm A sets a price of $70 for its good?
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