Problem 2 - Section 4.6 You are in charge of designing an aluminum can that holds 486 cm and has the shape of a right circular cylinder. We already know that the total surface area of the can will take A = 18r2 + 2rrh amount of aluminum. We want to minimize the amount of aluminmum we use. We are efficient with the sides of the can, so there is no waste there. The top and bottom of the can will have a radius of r and will be cut from a square that measures 3r on one side. What are the exact dimensions of the most economical can? Your solution should show your understanding of . defining objective and constraint functions . finding the values that satisfy the objective