A square-based, box-shaped shipping crate is designed to have a volume of 36 cubic feet. The material used to make the bottom costs twice as much (per square foot) as the material used in the sides. Determine the dimensions of the crate that minimize the cost of the materials.

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A: Given query is to find the way of fency to minimize the cost.

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A: Let us consider the fence of rectangular area of 210 square feet. Let us consider the length of…

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A: let the lengh of a rectangle is l and width is bthen area of rectangle=lbaccording to…

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A: step1            Given Rectangle of Area =280 sq feat.Let 'x' - Length , 'y' - Breadth

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A: Given  that ractanguler area is 260 square feet.and the fence along three side is to be made of…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inchesby cutting…

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A: Let x ( in feet) be the length of the garden along driveway and y (in feet) be the length…

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A: Please see the explanation below

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A: Let, x be the length of the rectangle and ybe the breadth of the rectangle. Given that, A rectangle…

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should…

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging.…

Q: A trash company is designing an open-top, rectangular container that will have a volume of 625 ft.…

A: A trash company is designing on open top rectangular container having volume = 625 ft3  Let length…

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Q: If the garden is to be 1800 square feet, and the fence along the driveway costs $6 per foot while on…

A: Given, Area of the garden = 1800 square feet

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: A rectangular page is to contain 60 square inches of printable area. The margins at the top and…

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Q: A 4-pen kennel of 2,560 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: Part-1

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Mr. Raymundo has enough materials to fence 90 meters. What are the dimensions of the rectangular lot…

A: Let the length and width of the rectangle be x and y. Then the perimeter of the rectangle is = 2x+y…

Q: A rancher plans to make four identical and adjacent rectanglar pens against the barn each with an…

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Q: A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the…

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Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: Top measure of the container is x by 3x.  Let h be the height of the container. So, the volume of…

Q: . A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the…

A: Explanation of the answer is as follows

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

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Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: A gardener has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing…

A: GivenAmount of fence available=60 yards

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If…

Q: the garden is to be 200 square feet, and the fence along the driveway costs $6 per foot while on the…

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Q: A rectangular storage container has a lid that is made from the same material as the sides, and is…

A: Given that A rectangular storage container has a lid that is made from the same material as…

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Q: The base of a rectangular prism shaped aquarium without a lid is made of slate and the sides are…

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Q: A trash company is designing an open-top, rectangular container that will have a volume of 5000 ft°.…

A: