Question 1: A manufacturing company estimates that its profit, in hundreds of dollars, after producing x thousand units can be expressed as P=- 2x2+12x+2 How many units must be produced to obtain the maximum profit?
Question 2: An open rectangular box is to be made from a 19-inch by 21-inch piece of cardboard by cutting identical squares from each corner and bending up the sides. Find the volume of the largest box that can be made.