The marketing research department for a manufacturer of notebook computers has determined that the price-demand curve for their products is p(x} : 0.05): + 600 where p(x) is the wholesale unit price in dollars and X denotes the quantity demanded. Part 1: Revenue The revenue function is defined as R [X l=x Pl X)- 1. Find the revenue function, R(X) 2 Find the marginal revenue function, R'(x) 3. Find and interpret the marginal revenue for x = 250 units 4 . Use the lat derivative test to determine how many computers (x) need to be sold in order to maximize the revenue? What is the maximum revenue? 5. What wholesale price (to the nearest dollar) should the company price the computers at in order to achieve the maximum revenue? Part 2: Cost Given that the cost function for manufacturing the notebook computers is C(X) =0.0002X3 - 0.3):2 + 40X +80,000 where X is number of computers and C(x) is price in dollars. 1. Find the marginal cost function, (3'00 2. Find and interpret the marginal cost for X = 250 units 3. Find the average cost function, C(x) 4. Find the marginal average cost function, @(X) 5. Find and interpret the marginal average cost for X = 250 units