Discussion:
Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides.
(a) Find a mathematical model expressing the volume of the box as a function of the length of the side of the square cut out.
(b) What is the domain of the function obtained in part (a)?
(c) On a graphics calculator, find accurate to three decimal places the length of the side of the square cut out so that the box has the largest possible volume. What is the maximum volume?