A company has been producing cassettes. The following is the function that the manufacturer's monthly profits represent as a function of price: U (x) = -20x^2+ 560x-1500 a) Is this parabola concave up or concave down? b) Is the vertex a maximum or minimum point? c) Find the intercepts with the X axis and with the Y axis.

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.