In an open-top drawer, the material cost of the two sides is $240 per m2. The material cost of the back is $500 per m2. The material cost of the front and the bottom are $1000 per m2 and $100 per m2 respectively. Use the method of Lagrange multipliers to find the dimensions of the most economical drawer having a volume of 0.08m3.

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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In an open-top drawer, the material cost of the two sides is $240 per m2. The material cost of the back is $500 per m2. The material cost of the front and the bottom are $1000 per m2 and $100 per m2 respectively. Use the method of Lagrange multipliers to find the dimensions of the most economical drawer having a volume of 0.08m3.

 

 

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