Math 202 Written Homework 4 (9.6, 9.7) We prefer that you write your solutions on printed copies of this document. However, you may instead rewrite the questions by hand before solving them. Write neatly. Always give enough work and clear explanation. This assignment has 30 possible points, but it will be weighted as 15 maximum points in the gradebook. 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 sx s 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) [10] Find the revenue function R(x) and the profit function P(x). Simplify your answers. R(x) = P(x) = b) [10] 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 This assignment is copyrighted. It is prohibited to copy, distribute, or put online