13 QuestionYou have been asked to design a rectangular box with a square base and an open top.Thevolume of the box must be 620 cm. The cost of the material for the base is $0.40 persquare centimeter and the cost of the material for the sides is $0.10 per squarecentimeter. Determine the dimensions of the box that will minimize the cost ofmanufacturing. What is the minimum cost? Give your answer in dollars, rounded to thenearest cent.Provide your answer below:I FEEDBACKMORE INSTRUCTIONSUBMITContent attribution• PreviousNextBook ProSearch or type URL38.个

Answered: Image /qna-images/answer/82835ac1-b7b9-47a1-a8dc-e2ff377db86b.jpg

Answered: You have been asked to design a…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 61E: Police investigations A police officer seals off the scene of an accident using a roll of yellow...

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Police investigations A police officer seals off the scene of an accident using a roll of yellow tape that is 300 feet long. What dimensions should be used to seal off the maximum rectangular area around the collision? Find the maximum area.
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A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to be 450 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost. length along the driveway ____ ft length perpendicular to the driveway _____ ft Find the minimum cost (in dollars). $ _________
A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to be 1,250 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost. Length along driveway ______ Length perpendicular to driveway____ Find the minimum cost (in dollars)._____
How do you find the length of the wire if both shapes have the same area? I understand finding the maximum/minimum area of both shapes, but can't find the area to be equal.
A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to be 1800 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost. length along the driveway ft length perpendicular to the driveway ft Find the minimum cost.$
A stained glass window will be created as shown at the right. The cost of the semi-circular region will be $10 per square foot and the cost of the rectangular region will be $8 per square foot. Due to construction constraints, the outside perimeter must be 50 feet. Find the maximum total cost of the window. What are the dimensions of the window?
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs 36¢/square foot, the material for the sides costs 10¢/square foot, and the material for the top costs 14¢/square foot, determine the dimensions of the box that can be constructed at minimum cost.

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