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 line 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 the volume into the special form
, and then indicate the maximum point (height) and maximum
volume.

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 line 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 the volume into the special form 
  , and then indicate the maximum point (height) and maximum 
volume.