CALCULUS PROBLEM A company wishes to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide.

CALCULUS PROBLEMA company wishes to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.

Solution:Let L be the length, w the width, and h the height.Since L = 2w we can dispense with the L.The total area includes the bottom which is L * w = 2w * w = 2w^2The two sides perpendicular...