1. Find the dimensions of a cylinder of volume 1 m3 of minimal cost if the top and bottom are made of material that costs twice as much as the material for the side.
2. Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size as in Figure. The wall materials cost $500 per linear meter and your company allocates $2,400,000 for that part of the project involving the walls.
a. Which dimensions maximize the area of the warehouse?
b. What is the area of each compartment in this case?