PROFIT Chuck owns several hot dog carts in a large downtown area. He finds that he can sell x hot dogs per day when the price of each hot dog is p = 4.2 - 0.01x dollars. The cost of preparing x hot dogs per day is C(x) = 0.002x + 30 dollars. a. Express Chuck's profit P as a function of sales x. Sketch the graph of the profit function. b. What price p should Chuck charge to maximize profit