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. y= -6x^2 + 600x - 5726

Answer 1

The maximum amount of profit the company can make is 9274

What 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 - 5726

differentiating the equation,

dy/dx = -12x + 600

for maximum selling price, dy/dx = 0

-12x + 600 = 0

12x = 600

x = 50

The maximum selling price is 50, so substituting x to find y

y = -6(50)(50) + 600(50) - 5726 = 9274

In conclusion, the maximum amount of profit the company can make is 9274.

Learn more about differentiation: brainly.com/question/954654

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