The amount of money a certain company makes can be represented by the graph y = x^2 - 18x - 33 , where x is the quantity produced. What is the smallest quantity at which the company can produce to break even or make a profit?

x^2 - 18x - 33 = 0

(x-9)^2 - 114 = 0

(x-9)^2 = 114

(x-9) = sqrt(114)

*Note that normally we have to account for negatives, but -sqrt(114) will make x a negative number which is not possible.

x = sqrt(114) + 9

=^._.^=