Mendoza Manufacturing plans to produce a one-compartment vertical file by bending the long side of a 10-in by 18-in sheet of plastic along two lines to form a U-shape. How tall should the file be in order to maximize the volume that the file can hold? Remember to change the expression of teh volume into the special form, and then indicate the maximum point(height) and maximum volume. Hint: Define necessary variables and show the expression of the volume function correctly.

Question

Mendoza Manufacturing plans to produce a one-compartment vertical file by bending the long side of a 10-in by 18-in sheet of plastic along two lines to form a U-shape.  How tall should the file be in order to maximize the volume that the file can hold?  Remember to change the expression of teh volume into the special form, and then indicate the maximum point(height) and maximum volume.  Hint: Define necessary variables and show the expression of the volume function correctly.