We want to construct a box whose base length is 5 times the…
We want to construct a box whose base length is 5 times the base width. The material used to build the top and bottom cost $3 per square feet and the material used to build the sides cost $2 per square feet. If the box must have a volume of 100 cubic feet determine the Width that will minimize the cost to build the box. (Note: The dimensions are specifically defined so that which dimension is the width is not ambiguous!)