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Mathematics, 16.11.2020 17:00 Hakika

A company operates two plants which manufacture the same item and whose total cost functions are C_1 = 9 + 0.02q1^2 and C_2 = 4.2 + 0.04q2^2,

where q_1 and q_2 are the quantities produced by each plant. The total quantity demanded, q = q1 + q2 , is related to the price, p , by

p = 50 - 0.04 q.

How much should each plant produce in order to maximize the company's profit?

q1=?

q2=?

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