Acompany 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=?