Problem 2: You are a product architect for an electronics business, and you decide to make special limited-edition collectible gadgets. Because they're limited-edition, you reason that you cannot make more than 20 gadgets if you want your boss's approval on the project. Some back- of-the-envelope calculation has you estimate that if you make a gadgets, you'll bring in a profit of P(x) = 2x3 -13x2 -20x+ 200 dollars. If your goal is to maximize profit, how many gadgets should you tell your boss will be best? (Note: if you only graph this problem and/or do not show your work or justify your answer, you will lose points.)