Question

when food is packaged in cans, it is not necessary that the material in both ends and the side be the same cost. if the ends of the can cost E $/cm squared, the side costs S $/cm squared and the label (including glue to attach the label to the can) is L $/cm squared, show that the best shape (most economical) to build the can is when r= (S+L)h/2E, where r is the radius of the can and h is its height.