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, pon topm 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. y 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, pon topm 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. y 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.
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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Given the picture attached,
Determine whether either of these company's dimensions are the best. In other words, determine the dimensions that would MINIMIZE the cost of producing each storage container, as well as the MINIMUM cost. (Justify answer with words and math)
^can you help me with this problem?
*in this scenario, the box is closed & has a top*
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