Mathematics, 25.03.2020 20:51 smonahan2023

A company operates two plants which manufacture the same item and whose total cost functions are C1=8.5+0.03q
2
1
and C2=5.2+0.04q
2
2
, where q1 and q2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q=q1+q2, is related to the price, p, by p=60-0.04q. How much should each plant produce in order to maximize the company's profit?

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