Question: A manufacturer estimates that when q units of a certain commodity are produced the profit obtained is P(q) thousands dollars, where P(q)=-2q^2+74q-72. Part
1. Find the average profit and the marginal profit functions.
2. At what level of production q (Line on top of q) is average profit equal to marginal profit?
3. Show that average profit is maximized at the level of production q (line on top) found in part b.