You are under contract to design a storage building with a square base and a volume of 12000 cubic feet. The cost of materials is $7 per square foot for the floor, $18 per square foot for the walls and $5 per square foot for the roof. Find the width of the square base that minimizes the cost of materials. Your Answer: Answer Question 12(0.5 points) American Airlines requires that the total outside dimensions (Length + Width + Height) of your carry on bag not exceed 45 inches. Suppose you want to buy a carry on bag whose length is twice its height (L=2H). What does the height have to be so that the volume of the bag will be maximized