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How much output should be produced in each plant to

Suppose the inverse demand for a monopolist's product is given by; P(Q)=10-0.5Q

The monopolist can produce output in two plants. The marginal cost of producing in plant one is MC(subscript 1) = Q(subscript 1). The marginal cost of producing in plant two is MC(subscript 2)= 2Q(subscript 2)

a) How much output should be produced in each plant to maximize profit?
b) what price should the firm charge for its product to maximize profits?

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Microeconomics: How much output should be produced in each plant to

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