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A multi plant monopoly operates two plants whose total cost schedules are ??1 = 8.5 +...

A multi plant monopoly operates two plants whose total cost schedules are
??1 = 8.5 + 0.03?1^2
??2 = 5.2 + 0.04?2^2
If it faces the demand schedule ? = 60 − 0.04(?1 + ?2), how much should it produce in each
plant to maximize profits?

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