The profit of a company can be modeled using the rule P = -C2 + 10C - 16 where P represents the profit and C represents the cost of the item sold.

Question

What cost will produce the maximum profit?

Answer 1

This makes little sense but anyway:

c^2 - 10 c + 16 = - p

c^2 - 10 c = - p - 16

c^2 - 10 c + 25 = -p + 9

(c-5)^2 = - (p-9)

max at c = 5 and p = 9