An open rectangular box with a square base of side-length "" is to be constructed out of two different materials. The base is made out of heavier material costing 25 per m ^ 2 , while the four sides are made out of lighter material costing $10 per m ^ 2 . Our goal is to create the cheapest possible box that has a volume of 10m ^ 3 Find an equation for the total cost of the box in terms of only Show work along with a suitable diagram. Then determine the global minimum of this equation and state the optimal dimensions for this box. (0 muiks)An open rectangular box with a square base of side-length "x" is to be constructed out of twodifferent materials. The base is made out of heavier material costing $25 per m2, while the foursides are made out of lighter material costing $10 per m². Our goal is to create the cheapestpossible box that has a volume of 10m.Find an equation for the total cost of the box in terms of only x. Show work along with a suitablediagram. Then determine the global minimum of this equation and state the optimal dimensionsfor this box.

Name: An open rectangular box with a square base of side-length "" is to be
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Description: An open rectangular box with a square base of side-length "" is to be constructed out of two different materials. The base is made out of heavier material costing 25 per m ^ 2 , while the four sides are made out of lighter material costing $10 per m

Let x m be the dimensions of the equal sides of the base of the open box and y m be the height of…

Answered: An open rectangular box with a square…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An open rectangular box with a square base of side-length "" is to be constructed out of two different materials. The base is made out of heavier material costing 25 per m ^ 2 , while the four sides are made out of lighter material costing $10 per m ^ 2 . Our goal is to create the cheapest possible box that has a volume of 10m ^ 3 Find an equation for the total cost of the box in terms of only Show work along with a suitable diagram. Then determine the global minimum of this equation and state the optimal dimensions for this box.

(0 muiks)
An open rectangular box with a square base of side-length "x" is to be constructed out of two
different materials. The base is made out of heavier material costing $25 per m2, while the four
sides are made out of lighter material costing $10 per m². Our goal is to create the cheapest
possible box that has a volume of 10m.
Find an equation for the total cost of the box in terms of only x. Show work along with a suitable
diagram. Then determine the global minimum of this equation and state the optimal dimensions
for this box.

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