We want to construct a rectangular box, with length x, depth y and height z. The material used to build the top and bottom cost $10 per square foot. The material used to build the sides cost $6 dollars per square foot. Find the dimensions of the box with the minimal cost as well as the minimum cost of producing the box. We know that the depth of the box is five times the length of the box and the volume of the box is 50 ft^3. Find the dimensions of the box with the minimal cost as well as the minimum cost of producing the box. ( see image attached)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.1: Multiplication Properties Of Exponents
Problem 1BGP
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We want to construct a rectangular box, with length x, depth y and height z. The material used to build the top and bottom cost $10 per square foot. The material used to build the sides cost $6 dollars per square foot. Find the dimensions of the box with the minimal cost as well as the minimum cost of producing the box. We know that the depth of the box is five times the length of the box and the volume of the box is 50 ft^3. Find the dimensions of the box with the minimal cost as well as the minimum cost of producing the box. ( see image attached) 

 

 

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