A cardboard box for a pizza can be folded from a flat piece of cardboard in such a way that it will form a box with a lid to keep in that delicious flavor (see figure). If you are still confused, you can stop by my office to see a sample. The flat piece of cardboard has a length (long side) of 40.5 inches and a width of 20 inches. You wish to maximize the volume of the box that can be formed by this piece of cardboard.

1. Determine the objective function for the volume of the box in terms of the width of the folded tabs x. 
2. What is the feasible domain of x?

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