930 Chapter 12 Further Applications of the Derivative 50. (-85 square centimeter for the sides and $0.02 per square centi- meter for the (thicker) top and bottom. What should be the noil dimensions of the cans to minimize the cost of metal in their production? What is the ratio height/radius? olu [HINT: See Example 4.]g br 12. Metal Drums A company manufactures cylindrical metal drums with open tops with a volume of 2 cubic meters. The metal used to manufacture the drums costs $2 per square meter for the sides and $3 per square meter for the (thicker) 51 bottom. What should be the dimensions of the drums to minimize the cost of metal in their production? What is the ratio height/radius? [HINT: See Example 4.] ▼ Box Design Chocolate Box Company is going to make open-topped boxes out of 6 X 16-inch rectangles of card- board by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? V Ror Dag