i am having difficulties with these question. can i get step by step Use method of Lagrange Multipliers to solve constrained optimization problems 1.A shipping company handles rectangular boxes provided the sum of the height and the girth of the box does not exceed 96 in.( The girth is the perimeter of the smallest base of the box.) Find the dimensions of the box that meets this condition and has the largest volume using Lagrange multipliers. include a picture of the box with labels. show work involved in solving this problem. 2. A home improvement contractor is painting the walls and ceiling of a rectangular room. the volume of the room is 198.00 cubic ft. the cost of wall paint is 0.06 per square foot and the cost of ceiling paint is $0.11 per square foot. Find the room dimensions that result in a minimum cost for the paint. length : ft width: ft height: ft what is the minimum cost for the paint?( round your answer to two decimal places) $