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(Solved): An open-top rectangular box is being constructed to hold a volume of 250in3. The base of the box is ...
An open-top rectangular box is being constructed to hold a volume of . 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 9 cents/in . The remainder of the sides will cost 2 cents/in . Find the dimensions that will minimize the cost of constructing this box. Front width: Depth: Height: in. in. in.
Expert Answer
Given data:An open-top rectangular box is being constructed to hold a volume of . The base of the box is made from a material costing . The front of the box must be decorated, and will cost . The remainder of the sides will cost .To find:Find the dimensions that will minimize the cost of constructing this box.Now,Let the front width of the rectangular box be , depth of the rectangular be , and the height be .First, find the area of each side of the rectangular box.Area of the base is .Area of the front is .Area of the remaining sides is .