1. For which values of \(x\) does \(ax^2+bx+c=0\)?
  2. What are the coordinates of the minimum (maximum) of the parabola (its vertex)?

Examples

The monopolist's profit function is given by: \(\Pi=102Q-2Q^2-2Q-.5Q^2=100Q-2.5Q^2\)\(\Pi=0\) if \(Q=0,\ 40\). Thus, \(\Pi\) is maximized at \(Q=20\).