The monthly demand function for x units of a product sold by a monopoly is p = 5,700 – x² dollars, and its average cost is C = 3,020 + 2x dollars. Production is limited to 100 units. Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = %3D Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(x) Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest cent.) $ Does the maximum profit result in a profit or loss? profit loss