2. (5 pts.) A company has determined that its weekly cost function is given by (C = 20x + 2, 800 where x is the number of items sold per week. Moreover, x = -20p + 1, 400, where p is the price (in dollars) per item and x is the quantity of the items sold. Find the profit function P(x) in terms of the quantity x. (a) P(x) = 0.05x2 - 50x - 2, 800 P ( - 20 p + 1900 ) - 20 x 7 2800 (b) P(x) = -0.05x2 + 50x -2, 800 (c) P(x) = -0.05x2 - 20x + 2, 800 - 20 3 2 (d) P (2) = -2012 + 201 - 2, 800 (e) P(x) = 0.05x2 + 50x - 2, 800