2. (12 points) An open top box is to be constructed from rectangular pieces of cardboard. The base will be a squarecut from sturdy and more expensive material, one that costs $4.00 per square foot. The four walls will be cut from moreaffordable material that costs $1.00 per square foot. What are the dimensions of the least expensive box one can design thatwill enclose 54 cubic feet of volume? How expensive will this box be to construct?