11.22. Market demand is P = 64 - (Q/7). A multiplant monopolist operates three plants, with marginal cost functions: MC (Q1) = 4Q1 %3D MC;(Q2) = 2 + 2Q2 MC;(Qs) = 6 + Q3 a) Find the monopolist's profit-maximizing price and output at each plant. b) How would your answer to part (a) change if MC2 (Q2) = 4?

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11.22. Market demand is P = 64 - (Q/7). A multiplant monopolist operates three
plants, with marginal cost functions:
MG(Q1) = 4Q1
MC;(Q2) = 2 + 2Q2
MC;(Q;) = 6 + Q3
a) Find the monopolist's profit-maximizing price and output at each plant.
b) How would your answer to part (a) change if MC2 (Q2) = 4?
Transcribed Image Text:11.22. Market demand is P = 64 - (Q/7). A multiplant monopolist operates three plants, with marginal cost functions: MG(Q1) = 4Q1 MC;(Q2) = 2 + 2Q2 MC;(Q;) = 6 + Q3 a) Find the monopolist's profit-maximizing price and output at each plant. b) How would your answer to part (a) change if MC2 (Q2) = 4?
Expert Solution
Step 1

Each plant has different Cost function . For profit maximisation we know that MC = MR 

We need to find for each plant separately. 

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