The manufacturing company you work for has been hired to produce a
Sketch a diagram of this situation.
Sketch a box and label the sides of the base
and the height .
Write an expression for the cost of the base in terms of
(area of the base)
Express the cost of the sides in terms of
and , the height of the box.
(length of base)(height)
How many sides does the box have?
Express the total cost of the box in terms of
base cost cost of all sides
Use the fact that the volume of the box is
cubic feet to write an equation for the volume of the box. (area of the base)(height) (area of the base)(height)
Solve for h in your equation from part (e) and then express the cost only in terms of
Graph your equation from part (f) to determine value of
that gives the minimum cost. What is the minimum cost?