Business
Business, 21.04.2020 22:14, arias58

In order to package one of their products, Acme Box Co. needs to construct a box whose bottom side has length 3 times its width. The material used to build the top and bottom of the box cost $10 per square foot, while the material used to build the four sides of the box cost $6 per square foot. The box must have a volume of 50 cubic feet. (a) In terms of the length ` of the bottom, the width w of the bottom and the height h of the box (all measured in feet), write a formula for the cost C (in dollars) to construct a box of length `, width w and height h. (b) Given the other conditions speciļ¬ed in the problem, express C as a function of a single variable. (c) Determine the dimensions of the box that minimize the cost. Be sure to justify that you have found dimensions that produce the minimum cost. (Youā€™ll be ļ¬red if you submit the maximum cost to your boss!) To the nearest dollar, how much will it cost to build the box at these dimensions?

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In order to package one of their products, Acme Box Co. needs to construct a box whose bottom side h...

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