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1. An industry is characterized by the following demand: P = 54-(Q/2). A multi-plant monopolist is the only producer in that market and it operates

1. An industry is characterized by the following demand:

P = 54-(Q/2).

A multi-plant monopolist is the only producer in that market and it operates three plants with the following cost functions:

MC1( Q1) = 2Q1

MC2( Q2) = 2+ Q2

MC3(Q3) =8 + 2Q3

a) What would be the price and the quantity produced in each plant?

b) Ignoring the specific demand given, is there a point when the firm may shut down any one of the three plants?

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