Cuboid warehouse will have volume V=216 m^3 For the builidng of walls they are using boards in the price 30usd/m^2, for the flooring 40usd/m^2 and for the ceiling 20usd/m^2. Find length a, width b and height c of warehouse, which cost will be minimum. Please, do not use the Lagrange multiplier

Cuboid warehouse will have volume V=216 m^3 For the builidng of walls they are using boards in the price 30usd/m^2, for the flooring 40usd/m^2 and for the ceiling 20usd/m^2. Find length a, width b and height c of warehouse, which cost will be minimum. Please, do not use the Lagrange multiplier

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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Cuboid warehouse will have volume V=216 m^3
For the builidng of walls they are using boards in the price 30usd/m^2, for the flooring 40usd/m^2 and for the ceiling 20usd/m^2. Find length a, width b and height c of warehouse, which cost will be minimum.

Please, do not use the Lagrange multiplier.

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