Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers with a cost-effective, versatile rectangular storage container with a square base, opon top and a volume of 36 ft' (see the diagram below). Each company has determined they want to use the same type of materials to construct the containers. The material for the sides and top of each container costs $2/ft², and the material for the bottom costs $4/ft2. Lone Depot claims that the minimum cost of producing such a container with the de- sired volume of 36 ft can be obtained if the dimensions of the container are 2.5 ft by 2.5 ft by 5.76 ft. However, Homes claims that the minimum cost of producing such a container can be obtained if the dimensions of the container are 4 ft by 4 ft by 2.25 ft.

Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers with a cost-effective, versatile rectangular storage container with a square base, opon top and a volume of 36 ft' (see the diagram below). Each company has determined they want to use the same type of materials to construct the containers. The material for the sides and top of each container costs $2/ft², and the material for the bottom costs $4/ft2. Lone Depot claims that the minimum cost of producing such a container with the de- sired volume of 36 ft can be obtained if the dimensions of the container are 2.5 ft by 2.5 ft by 5.76 ft. However, Homes claims that the minimum cost of producing such a container can be obtained if the dimensions of the container are 4 ft by 4 ft by 2.25 ft.

Name: Given the picture attached, which company's dimensions are better? In
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Description: Given the picture attached, which company's dimensions are better? In other words, which will result in a lower cost of constructing each container? (Justify answer with math and words) ^can you help me with this problem? *also the container is clo

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 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....

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