The price-demand equation and the cost function for the production of a certain product are given, respectively, by p = 15 - 0.005x and C(x) = 2,000 + 3x, 0 sxs 3,000, where x is the number of units that can be sold at a price of $p per unit and C(x) is the total cost (in dollars) of producing x units. Complete parts a) through e) below. a) Find the revenue function R(x) and the profit function P(x). Simplify your answers. R(x) = P(x) = b) Find the marginal profit function P(x). Also, find the profit and the marginal profit at a production level of 1,000. P'(x) = . At production level 1000, the profit is and the marginal profit is

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