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Do you have any other questions related to this problem or need further clarification? Here are some related questions you might consider:

1. How is the quadratic formula used to find the maximum or minimum of a parabola?
2. What is the significance of the vertex in a quadratic function?
3. Could there be multiple solutions to this type of profit optimization problem?
4. How can you determine if a critical point is a maximum or minimum using derivatives?
5. What happens if you change the coefficients in the equation for profit?

**Tip:** In quadratic functions, if the leading coefficient is negative, the parabola opens downwards, and the vertex represents the maximum value.

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 y = -x^2 + 90x - 594. Find the price at which the widgets should be sold for the company to make the maximum profit.

Learn how to determine the price of widgets for maximum profit using the quadratic equation y = -x^2 + 90x - 594. This example focuses on finding the vertex of a parabola and applying profit maximization concepts, suitable for high school students.

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