The monthly demand function for x units of a product sold by a monopoly is p = 5,700 - -xdollars, and its average cost is C = 3,040 + 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 ) = 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.) S Does the maximum profit result in a profit or loss? profit loss