An artist is planning to sell signed prints of her latest work. If 30 prints are offered for sale, she can charge $300 each. However, if she makes more than prints, she must lower the price of all the prints by $5 for each print in excess of the 30. That is, 31 prints reduce the price by $5, 32 prints reduce the price by $10, and so on. How many prints should the artist make to maximize her revenue?

Let x be the number of prints and p the price per print. The demand equation is p= and the revenue function is R(x) =