y = -6x^2 + 100x - 180\nx = selling price of each soccer ball\ny = daily profit from soccer balls\nthe…
y = -6x^2 + 100x - 180\nx = selling price of each soccer ball\ny = daily profit from soccer balls\nthe vertex is located at (8.33, 236.67).\nwhat does this point represent in context?
Answer
Brief Explanations:
In a profit - price quadratic function, the vertex represents the maximum or minimum. Here, since the coefficient of $x^{2}$ is negative, the parabola opens downwards and the vertex is the maximum point. The $x$ - value is the selling price and the $y$ - value is the profit.
Answer:
The daily profit from soccer balls is maximized when the selling price of each soccer ball is approximately $$8.33$, and the maximum daily profit is approximately $$236.67$.