A closed box with a square base is to have a volume of 81,000
cm3. The material for the top and bottom of the box
costs $7.507.50 per square centimeter, while the material for the
sides costs $2.502.50 per square centimeter. Find the dimensions
of the box that will lead to the minimum total cost. What is the
minimum total cost?
Write an equation for C(x), the cost of the box as a
function of x, the length of a side of the base.