1. A large bin for holding heavy material will be in the shape of a rectangular box with a base whose length is twice its width. The material for the base will cost $10/ft², the material for the sides will cost $7/ft, and the material for the top will cost $6/ft?. If the volume of the bin must be 441 ft°, find the dimensions that will minimize the cost of the bin's construction. What is the minimum cost? Dimensions (1 x w x h) : 10.5 ft x 5.25 ft x 8 ft Minimum Cost : $2646.00

1. A large bin for holding heavy material will be in the shape of a rectangular box with a base whose length is twice its width. The material for the base will cost $10/ft², the material for the sides will cost $7/ft, and the material for the top will cost $6/ft?. If the volume of the bin must be 441 ft°, find the dimensions that will minimize the cost of the bin's construction. What is the minimum cost? Dimensions (1 x w x h) : 10.5 ft x 5.25 ft x 8 ft Minimum Cost : $2646.00

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

Section9.4: Polyhedrons And Spheres

Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...

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