The profit (in millions) for a company publishing paperback books as a function of the price x that is charged is shown below.  The goal is to compute and graph marginal profit data.  Two approaches are used: a data analysis approach in which an estimate of the marginal profit is computed, and an analytic approach in which the derivative of the profit function is used.  Supporting documentation can be found in the Marginal Profit document.
x=price per book
profit P= -x2+25x-144
x	Profit
10	6
10.5	8.25
11	10
11.5	11.25
12	12
12.5	12.25
13	12
13.5	11.25
14	10
14.5	8.25
15	6