The marketing department of a company estimates that the demand for a product is given by p = 54 - 0.018x 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 = 290 + 30x dollars, and the profit for producing x units is given by P = R - C = xp - C.
Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.
x for maximum: