Graph this function using Excel, Mathematica, etc.

Using the rules for first and second derivatives and determining extrema (maxima/minima). Because this is a piecewise function, you will need to perform the optimization on each individual domain. Then determine which ones out of these 4 values produces actually the greatest profit. Then provide a conclusive paragraph write-up summarizing your results. You do not need to type an introduction here since it is so short, just provide the graph, the work for the optimization, justifying which is the overall maximum profit, and then writing aconclusive paragraph.