A rectangular box with the square base is made of two different materials. The material for the base and the top 2 costs $ 3 per m , and the material for the side costs $ 1 per m2. Assume that the total cost of the box is xed at $72. Find the width and height of the box that will maximize its volume. The total cost of the box 2 6(Width)2 + 4 Width - height. The volume of the box is V = (Width)2 - height. height width width