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A monopolist with marginal costs MC(q)= c is facing a demand Q=a p^-3 . (a) Calculate the optimal price and quantity and the net profits

A monopolist with marginal costs MC(q)= c is facing a demand Q=a p^-3 .

(a) Calculate the optimal price and quantity and the net profits when c = 2 and a = 2700.

How does the optimal monopoly price change (increase/decrease/stays the same) when

(b) MC increases; that is, c increases?

(c) The demand shifts right, that is, a increases?

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