Question: Struggling with this problem right now and others like it. This week in class we are working with Functions of two and three variables, first

Struggling with this problem right now and others like it. This week in class we are working with Functions of two and three variables, first and second order partial derivatives, and also with Lagrange Multipliers for context. Please show all work so I can follow.

An open-top rectangular box is being constructed to hold a volume of 2001n3. The base of the box is made from a material costing 8 cents/inz. The front of the box must be decorated, and will cost 9 cents/inz. The remainder of the sides will cost 2 cents/inz. Find the dimensions that will minimize the cost of constructing this box. Round your answers to two decimal places as needed. Front width: C] in. Depth: C] in. Height: in

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