The marketing department of a company estimates that the demand for a product is given by $p=62 - 0.004 x$ dollars, where $p$ is the price per unit and $x$ is the number of units.

The cost of producing $x$ units is given by $C = 590 + 40 x$ dollars, and the profit for producing $x$ units is given by $$P = R-C = x p - C .$$ Skech the graph of the profit function and estimate the number of units that would produce a maximum profit.

$x$ for maximum: