STATEMENT OF PROBLEM

We consider the manufacturing process in which we need to make an enclosed, rectangular box from a flat (8.5" by 11" rectangle) sheet of metal. The box will have a rectangular bottom

Teacher's Note: This description gives the variable formulation and may be omitted in favor of a diagram to be labeled.

(1) Find the dimensions of the box which will make the volume of the enclosed, rectangular box maximum.

(2) Economic considerations in manufacturing process.

(3) Compare the outcomes of (1) and (2).