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.Y=-3x^2+155x-1148

The maximum amount of profit the company can make is 9274What is  differentiation?Differentiation is the rate of change of one quantity with respect to the other.It is the ratio of the change in one quantity, usually the dependent quantity to the change in another related quantity, usually the independent quantity.Analysis:y= -6x^2 + 600x - 5726differentiating the equation, dy/dx = -12x + 600for maximum selling price, dy/dx = 0-12x + 600 = 012x = 600x = 50The maximum selling price is 50, so substituting x to find yy = -6(50)(50) + 600(50) - 5726 = 9274In conclusion, the maximum amount of profit the company can make is 9274.Learn more about differentiation: brainly.com/question/954654#SPJ1