PROFIT UNDER A MONOPOLY To produce x units of a particular commodity, a monopolist has a total cost of C(x) = 2x2 + 3x + 5 and total revenue of R(x) = xp(x), where p(x) = 5 - 2x is the price at which the x units will be sold. Find the profit function P(x) = R(x) - C(x) and sketch its graph. For what level of production is profit maximized?