Help me please!!

Question

A company sells widgets. The amount of profit, Y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar

equation: Y= -3x^2 + 346x - 3557

Answer 1

Y' = -6x + 346 = 0

x = 346/6 = 173/3 = 57 2/3

Y(173/3) = -3(173/3)^2 + 346(173/3) - 3557 = 9976.33 - 3557 = $6,419.33