A closed rectangular box to contain 16 ft³ is to be made ofthree kinds of materials. The cost of the material for the top and the bottomis Php18 per square foot, the cost of the material for the front and the backis Php16 per square foot, and the cost of the material for the other two sidesis Php12 per square foot. Find the dimensions of the box such that the costof the materials is a minimum.

This is the problem of multivariable calculus.

A closed rectangular box to contain 16 ft³ is to be made o three kinds of materials. The cost of the material for the top and the botton is Php18 per square foot, the cost of the material for the front and the bacl is Php16 per square foot, and the cost of the material for the other two side is Php12 per square foot. Find the dimensions of the box such that the cos of the materials is a minimum.

A closed rectangular box to contain 16 ft³ is to be made o three kinds of materials. The cost of the material for the top and the botton is Php18 per square foot, the cost of the material for the front and the bacl is Php16 per square foot, and the cost of the material for the other two side is Php12 per square foot. Find the dimensions of the box such that the cos of the materials is a minimum.

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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