The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will have an internal volume of 2.4 ft3. For aesthetic reasons, the design team has decided that the height of the cabinet is to be 1.5 times its width. If the top, bottom, and sides of the cabinet are constructed of veneer costing 45¢/ft2 and the front (ignore the cutouts in the baffle) and rear are constructed of particle board costing 15¢/ft2, what are the dimensions of the enclosure that can be constructed at a minimum cost? width= ____ ft height= ____ ft depth= ____ ft

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 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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 The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will have an internal volume of 2.4 ft3. For aesthetic reasons, the design team has decided that the height of the cabinet is to be 1.5 times its width. If the top, bottom, and sides of the cabinet are constructed of veneer costing 45¢/ft2 and the front (ignore the cutouts in the baffle) and rear are constructed of particle board costing 15¢/ft2, what are the dimensions of the enclosure that can be constructed at a minimum cost?

width= ____ ft

height= ____ ft

depth= ____ ft

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