2. A box of mechanical pencils cost the distributor 60 cents/box. The distributer can sell 100 boxes at $1/box. For each cent the price is lowered he can increase the number of boxes sold by 5. (a) If x is the number of boxes sold, show that the total revenue is cents if R(x) = = (600x - x2). (b) Define the profit function, P(x) (c) How many boxes should he sell to maximize the profit? What would the price be then? What would the profit be in $