An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is made from a material costing 6 cents/in². The front of the box must be decorated, and will cost 12 cents/in². The remainder of the sides will cost 2 cents/in². Find the dimensions that will minimize the cost of constructing this box. Front width: in.

An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is made from a material costing 6 cents/in². The front of the box must be decorated, and will cost 12 cents/in². The remainder of the sides will cost 2 cents/in². Find the dimensions that will minimize the cost of constructing this box. Front width: in.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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