An open-top rectangular box is being constructed to hold a volume of 200 in'. The base of the box is made from a material costing 5 cents/in . The front of the box must be decorated, and will cost 11 cents/ in. The remainder of the sides will cost 4 cents/in. Find the dimensions that will minimize the cost of constructing this box. Front width: in. Depth: in. Height: in. Use the box below to show your work using calculus to solve the problem. Be sure to show all steps for all parts including verifying the value found is a minimum. Full credit will be given to complete, correct solutions