The cost, in dollars, for a company to produce x widgets is given by C(x) = 5250 + 7.00x for x 0, and the price-demand function, in dollars per widget, is p(x) = 45 - 0.02x for 0 x 2250. In Quiz 2, problem #10, we saw that the profit function for this scenario is P(x) = - 0.02x2 + 38.00x - 5250.

Find and interpret the break-even points. Show algebraic work