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A company operates two plants which manufacture the same item and whose total cost functions are C 1 =9+0.01q 2 1 and C 2 =5.4+0.02q

A company operates two plants which manufacture the same item and whose total cost functions are C1=9+0.01q21 and C2=5.4+0.02q22, where q1 and q2 are the quantities produced by each plant. The total quantity demanded, q=q1+q2, is related to the price, p, by p=60-0.2q. How much should each plant produce in order to maximize the company's profit?

q1=?

q2=?

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