y=-6x^2+100x-180 x=selling price of each soccer ball y=daily profit from soccer balls The vertex is located at (8.33, 236.67). What does this point represent in context?

Accepted Solution

In the figure we have the graphic of this equation. So, the vertex is the maximum of this function. This point means that the maximum daily profit from soccer balls is:

[tex]y = 236.67[/tex]

And this happens when the selling price of each soccer ball is:

[tex]x = 8.33[/tex]

So if you want to get the best daily profit, this is the price you must sell each soccer ball.