9. A manufacturer wants to design an open-top rectangular box from an 8-by-15 inch piece of cardboard by cutting congruent squares from the comers and folding up the sides. Use calculus to find the dimensions that will produce a box with the largest possible volume. Verify that your answer yields a maximum. Show all of your work to earn full credit. a.) Draw a picture. Define and label the variables you will be using. (2 points) b.) Set up the equation you will be maximizing and solve the problem. (6 points) c.) Verify that your answer yields a maximum. (2 points)