The monthly demand function for x units of a product sold by a monopoly is p = 6,100 - C = 3,040 + 2x dollars. Production is limited to 100 units. dollars, and its average cost is Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = 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