353. You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft and the material for the sides costs $2/ft². You need a box with volume 4 ft. Find the dimensions of the box that minimize cost. Use x to represent the length of the side of the box.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Hi may I ask How to do this question step by step?

and if i was supposed to find the minimum cost of it, how much would it be?

 

thankyou

353. You are constructing a box for your cat to
sleep in. The plush material for the square bottom
of the box costs $5/ft and the material for the
sides costs $2/ft. You need a box with volume
4 ft. Find the dimensions of the box that
minimize cost. Use x to represent the length of
the side of the box.
Transcribed Image Text:353. You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft and the material for the sides costs $2/ft. You need a box with volume 4 ft. Find the dimensions of the box that minimize cost. Use x to represent the length of the side of the box.
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