A rectangle storage container without a lid is to have a volume of 10m^3.

Question

The length of its base is twice the width. Material for the base costs $5 per square meter. Material for the sides costs $3 per square meter. Let w denote the width of the base.

make a function for the cost of the material for the box in terms of w.

What is the domain of your function in part a)?

Use calculus to find the dimensions of the box that will minimize the cost of the material used. 3 decimal points

Give the minimum cost in dollars to 2 decimal places.

Answer 1