Acompany operates two plants which manufacture the same item and whose total cost functions are

c_1 = 6.5 + 0.04q1^2 and c_2 = 5.2 + 0.05q2^2,

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 = 40 - 0.05q.

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

q1=?

q2=?