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Market demand is P=64-(Q/7). A multiplant monopolist operates three plants, with marginal cost functions: a) Find the monopolist's profit-maximizing price and output at each plant

Market demand is P=64-(Q/7). A multiplant monopolist operates three plants, with marginal cost functions:

a) Find the monopolist's profit-maximizing price and output at each plant (think about aggregating the MC).

b) What are the total profits?

c) How would your answer to part (a) change if MC2(Q2)=4?

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