Solved: Find the profit maximizing level of output at each plant, Microeconomics

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Find the profit maximizing level of output at each plant

A manufacturer produces an item in two different plants. The cost function for each plant is given by

TC(Q1:= Q3-15Q2+120Q1+200

TC(Q2:= 2Q3-25Q2+160Q2+400

If the market demand for the firm's product is given by
P = 500 - 6Q

find the profit maximizing level of output at each plant and price. What is the firm's profit?2

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Microeconomics: Find the profit maximizing level of output at each plant

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