We want to construct a box whose base length is three times the base width....

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Advance Math

We want to construct a box whose base length is three times the base width. The material used to build the top and bottom cost $10/ft2 and the material to build the sides cost $6/ft2 . If the box must have volume 50 ft3 , what is the minimum cost of the box?

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3.9 Ratings (505 Votes)

We start by drawing a picture of the box We have the following formula for the volume of the box V lwh 50 3w2h 1 We also have the following formula for the cost of the box C 2area of topbottom10 2area of frontback6 2area of See Answer

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We want to construct a box whose base length is three times the base width....

60.1K

Verified Solution

Question

Advance Math

We want to construct a box whose base length is three times the base width. The material used to build the top and bottom cost $10/ft2 and the material to build the sides cost $6/ft2 . If the box must have volume 50 ft3 , what is the minimum cost of the box?

Answer & Explanation Solved by verified expert

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