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You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 20 Q, where

You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 20 Q, where Q = Q₁+ Q₂. The marginal costs associated with producing in the two plants are MC₁= 2 and MC₂= 2Q₂. How much output should be produced in plant 1 in order to maximize profits?

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