You have designed a new Easter egg and want to sell the eggs in a local market. You estimate the total cost of your operation to be represented by the cost equation

C(x) = x² 10x, where x is the number of items sold. Furthermore, the equation you use for the price per item is given by p(x) = 2x + 1000. Determine how many items you need to sell to maximize profit (note that Profit = Revenue Cost and Revenue = Quantity times the price per item.