Answer the following questions to the best of your abilities. Please BOX or CIRCLE your final answer(s) as needed. You must show relevant work and use proper mathematical notation to receive full credit. Simplify your answers. 1. Suppose that a company sells a particular item for $40 per unit, and that the total cost function is C(x) = 0.01x3 + 20r + 1600 dollars. (a) (1 pt) Find the revenue function R(z). (b) (3 pts) Construct and simplify the profit function P(x). (c) (2 pts) Find the marginal profit function. (d) (2 pts) What is the marginal profit when 200 units are produced and sold? Don't forget units! (e) (2 pts) How many units should the company produce and sell to maximize the profit